"What's
Special About This Number" Facts
eople
have always been fascinated by NUMBERS... Numbers
are actually basic elements of mathematics used for counting,
measuring, ranking, solving equations, and comparing quantities.
For some ones numbers represent meaningless symbols manipulated
according to arbitrary rules, for others numbers carry occult
powers and mystic virtues.
Almost all numeration systems start as simple tally
marks, using single strokes to represent each additional unit.
The first known use of numbers dates back to around 30,000 BC when
tally marks were used by stone age people.
The
number facts in this 'Numberopedia' are available as features for
print and electronic publishing.
|
| If
you got a distinctive fact about any number listed here you think Archimedes'
Lab community might enjoy, why not post it here? |
Conoscete
un numero con delle proprietà originali? Contattateci! |
Connaissez-vous
un nombre avec des propriétés étonnantes? Contactez-nous! |
Number
list: lista
dei numeri (it), liste des nombres (fr), lista de números (es,
por), Liste besonderer Zahlen (ger), getallen en getalverzamelingen (du), seznam čísel (cz), 數表 (ch), 数の一覧 (jap), список чисел (ru), שמות מספרים (he).
0-6 | 7-12 | 13-23 | 24-69 | 70-200 | 201-684 | 5H0P
| NaN |
NaN (Not a Number)
is, in computing, a value (or symbol) that is usually produced
as the result of an operation on invalid input operands, especially
in floating-point
calculations. NaNs are close to some undefined or inderterminate expressions
in mathematics. In short, NaN is not really a number but a symbol
that represents a numerical quantity whose magnitude cannot be
determined by the operating system.
= -1
= log (-n) = ln (-n)
= 0 / 0
= 00
= 1∞
= ∞0
= ∞ / ∞ = ∞ / -∞ = -∞ / ∞ =
-∞ / -∞
= 0 x ∞ = 0 x -∞
= (-∞) + ∞ = ∞ + (-∞)
= ln |0| / ln |±∞|
= e±∞ x ln |0|
= (m / ±∞) x (n / 0) if m ±∞ and n 0
|
 |
= i,
is the imaginary
unit of any imaginary number. Discovered by the Italian mathematician Girolamo
Cardano.
An imaginary
number is a number of the form bi where
'b' is a real number, 'i' is the square root of -1, for
b 0.
Imaginary numbers (and complex numbers in general) are essential
for describing physical reality and have concrete applications
in: electromagnetism, signal processing, control theory, quantum
mechanics, cryptology, and cartography...
is the
result of the folowing equations:
x2 + 1 = 0
x3 - x = 0 (for x 0
or x 1)
Square
roots of negative numbers other than -1 can be written under
the form:
-n
= i n
ei /2 =
cos ( /2)
+ i sin ( /2) = i
ii = e- /2 ≈ 0.207879576...
(cf. i to
the i is a Real Number)
the reciprocal of i is -i:
i-1 = 1/i = i/i2 = i/-1
= -i
Powers
of i repeat in a definite pattern (i,
-1, -i, 1, ...):
i1 = i
i2 = -1
i3 = i2i = (-1)i =
-i
i4 = i3i = (-i)i =
-(i2) = -(-1) = 1
i5 = i4i = (1)i = i
...
Multiplicative
table with i
| |
1 |
-1 |
i |
-i |
| 1 |
1 |
-1 |
i |
-i |
| -1 |
-1 |
1 |
-i |
i |
| i |
i |
-i |
-1 |
1 |
| -i |
-i |
i |
1 |
-1 |
The
first roots of i are:
1 i = i
2 i = ±(1
+ i)/ 2
3 i =
( 3
+ i)/2
4 i = ±(i (2
- 2)
+ (2
+ 2))/2
5 i = i
A 'paradox'
with i:
a) -1
= -1
b) (1/-1)
= (-1/1)
c) 1/ -1
= -1/ 1
d) ( 1)2 =
( -1)2
e) 1 = -1 and then 2 = 0 ??? Is this possible? Can you discover
what led to this poetic licenced conclusion?
|
0
|
is
a separate and special entity called 'Identity
element'. 0 is actually the identity element under addition
for the real numbers, since if a is any real number, a +
0 = 0 + a = a. Mathematicians refers
to 0 as the additive identity (or better said, the reflexive
identity of addition).
is considered
to be a purely imaginary number: 0 is the only complex number
which is both real and purely imaginary.
identifies
the concept of "almost" impossible in probability.
More generally, the concept of almost nowhere in measure theory.
0 =
loga1
a0 = 1, only when a doesn't
equal 0.
By convention,
you cannot divide any number by zero.
In theory, zero multiplied by infinity is undetermined (as is zero
divided by zero).
It is
the only integer (actually, the only real number) that is neither
negative nor positive. The question whether 'zero' is odd or
even seems to be totally subjective!
Mathematical
equations with one or more unknown factors are solved by equalizing
them to zero.
is the
number of n x n magic squares for n =
2.
The
difference between 3, 30 and 300 is only some extra zeros, but
those little circles are actually one of the world's greatest
inventions! As early as 200 B.C., Hindu scholars were working
with nine oddly shaped symbols and
a dot that eventually would bring order out of a world of mathematical
chaos. The dot and nine symbols were the earliest known forerunners
of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Comprised of only
ten symbols and based on multiples of ten, the Hindu numeral
system was easily learned and easily used. Who first thought
of using a dot (bindu, in sanskrit) as the tenth number
is not known. But it can be supposed that a Hindu, working on
his abacus, wanted to keep a written record of the answers on
his abacus. One day he used a symbol '.' which
he called shunya ( )
to indicate a column on his counting board in which he had moved
no beads... Shunya, the dot, was originally not zero the number,
but merely a mark to indicate empty space.
The
word "zero" was coined by the Italian mathematician
Leonardo Pisano, said Fibonacci. He transformed the Arabic word
'صِفْر', sifr (from the
semitic root s.p.r., 'empty') into Italian equivalent zefiro,
shortened to zero afterwards. Many languages have adopted
the word "zero": english, catalan, french (zéro),
portuguese, romanian, spanish (cero), wallon (zérô),
albanian, polish, japanese...
Europe is divided into two regions: the 'zero region'
(see above) and the 'nullus region' (nullus,
'zero' in Latin). The 'nullus region' includes the Germanic, the
Skandinavian and some Slavonic countries. The following is a table
of the number 0 in a sample of the languages of the 'nullus region':
| Dutch |
nul |
Czech |
nula |
| German |
null |
Russian |
nol' |
| Swedish |
noll |
Slovak |
nula |
The
Greek word for zero is μηδεν, read as
'meden', which means, etymologically, not even one (i.e. nothing).
The Oracle of Delphi in ancient Greece had a wise motto, like
this: "meden agan" - nothing too much (or nothing
in excess)... -
posted by George Pantazis
Love is
a score of 0 in tennis.
What
English word contains 0 vowels?
Answer: hymn, gypsyfy, myth, rhythm, sylph, syzygy, etc.
The
Czech phrase: Strc prst skrz krk meaning "thrust
finger through neck", contains 0 vowels
and semi-vowels!
In German,
the expression in Null Komma nichts (in
zero point nothing) means 'in a trice'
In Italian,
the expression a chilometri zero (in
zero kilometers from any location) means 'local'. For instance, un
gelato a chilometri zero translates as 'an ice-cream produced
with local products'.
There
are no letters assigned to the numbers 0 and 1 on
a phone dial. These numbers remain unassigned
because they are so-called 'flag' numbers, kept for special purposes
such as emergency or operator services.
"Wuji" (Number
0), in the Mystical Numbers of Taoism, represents the Null, the
Chaos, the Origin and the End.
Joke:
Chuck Norris can divide by zero. (More Chuck
Norris facts)
|
| 1/2 |
=
sinus(30°)
= cosinus(60°)
= cosinus(30°)/ 3
= 1/3 + 1/6
Using
all digits from 1 to 9 once:
= 6 729 / 13 458
= 9 327 / 18 654 (there are 10 other possibilities
to write similar fractions by using all digits from 1 to 9 once)
= (123 - 45) / (67 + 89)
Using
the same number twice, but just swapping the place of ONE digit:
=
105263157894736842 / 210526315789473684
= 157894736842105263 / 315789473684210526
= 210526315789473684 / 421052631578947368
= 263157894736842105 / 526315789473684210
= 315789473684210526 / 631578947368421052
= 368421052631578947 / 736842105263157894
= 421052631578947368 / 842105263157894736
= 473684210526315789 / 947368421052631578
Numbers with such properties are called 'parasit
or parasitic numbers'.
≈ angular
magnitude of the Sun, and of the Moon.
In a
group of 23 people, at least two have the same birthday with
the probability greater than 1/2.
| ∑ |
=
1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + ... |
= |
| |
=
(1-1) + (1-1) + (1-1) + (1-1) + ... |
=
0 |
| |
=
1 + (1-1) + (1-1) + (1-1) + ... |
=
1 |
| |
=
1 + (1-1+1-1+1-1+ ...) = 1 + ∑ => ∑ |
= 1/2 |
Another
'paradox'
involving 1/2:
Since (1/2)2 = 1/4
and (1/2)3 = 1/8
then (1/2)3 < (1/2)2
using the logarithms we obtain:
3 log (1/2) < 2 log (1/2)
and after dividing by log (1/2):
3 < 2
How can that be?
Did
you know that the Romans too could transcribe unit fractions?
e.g. to write 1/2
they used the letter S (semis). Knowing that, what represents
the Roman numeral SIX? Obviously
not 6, but 8.5! (10 - 1 - 1/2)
In
Italy, "fojetta" (small leaf, in Roman
dialect) is a measure corresponding to half a liter of
wine.
A
typical 'fojetta' ->
|
 |
|
1
I
|
is
a separate and special entity called 'Unity' or 'Identity
element'. 1 is actually the identity element under multiplication
for the real numbers, since a x 1 = 1 x a = a.
Mathematicians refers to 1 as the multiplicative identity (or
better said, the reflexive identity of multiplication).
is NOT prime!
Primes or prime
numbers can be poetically described as the 'atoms' of mathematics
- the building blocks of the world of numbers. But, mathematically
speaking: "a prime number is a positive integer with
exactly TWO positive divisors: 1 and itself". Modern
textbooks consider 1 neither prime nor composite, whereas older
texts generally asserted the contrary. In 1859, Henri
Lebesgue stated explicitly that 1 is prime in "Exercices
d'analyse numérique". It is also prime in "Primary
Elements of Algebra for Common Schools and Academies" (1866)
by Joseph Ray, and in "Standard Arithmetic" (1892)
by William J. Milne. A list of primes to 10,006,721 published
in 1914 by Derrick N. Lehmer includes 1 ("List of prime
numbers from 1 to 10,006,721", Carnegie Institution of Washington).
is the
only real solution of the equation x3 + 3x -
4 = 0
Benford's
law states that in a huge assortment of number sequences
- in listings, tables of statistics, random samples from a
day's stock quotations, a tournament's tennis scores, the populations
of towns, electricity bills in the Solomon Islands, and much
more, the digit 1 tends to occur with probability ∼30%,
much greater than the expected 11.1% (i.e., one digit out of
9). Dr. Nigrini gained recognition by applying a system he
devised based on Benford's Law to some fraud cases in Brooklyn.
The idea underlying his system is that if the numbers in a
set of data like a tax return more or less match the frequencies
and ratios predicted by Benford's Law, the data are probably
honest. But if a graph of such numbers is markedly different
from the one predicted by Benford's Law, he said, "I think
I'd call someone in for a detailed audit".
Mathematicians
define a 'sphere' as the surface of a sphere, not a solid ball,
so a sphere has 2 sides: the outside and the inside. However,
there are also 1-sided
surfaces!
f(x) = ex at the point x = 0 is exactly
1.
=0!
Why 0! = 1? Because 4! = 4x3x2x1 and 3! = 3x2x1. Therefore 4! =
4x3! In the same way 3! = 3x2! and 2! = 2x1! So it follows
that 1! = 1x0! Therefore 0! must be equal to 1 or 1! would
be 0... And so 2! would be zero and then 3! and so on.
=
logaa
= a0 (for a 0)
= 35 - 32 -
52
= 75 - 72 -
52
= 1/2 + 1/3 + 1/6
= 1/2 + 1/4 + 1/6 + 1/12
= 1/21 + 1/22 + 1/23 + 1/24 +
1/25 + ...
= sin2 (a) + cos2 (a)
= | Fn x Fn+3 - Fn+1 x Fn+2 | (F
= Fibonacci numbers)
= 1/(1x2)
+ 1/(2x3) + 1/(3x4) + 1/(4x5) + ... + 1/n(n+1)
= 0.9 + 0.09 + 0.009 + 0.0009 + 0.00009 + ...
 n =
1
=
e2i
= 3 (13 3/36
+ 5/8) - 3 (13 3/36
- 5/8)
Curious
multiplications using 1's:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
etc...
During
any police lineup the suspects wear nos. 2 through 9 because
it is considered too suggestive to make anyone display the no. 1!
Symbolizes
the essence of all phenomena, which is a single unity, before
being divided. It represents also the contrast between essence
and existence; the enduring and the ephemeral; the unity in diversity
(one/many). According to Hopper, the first advance towards counting
is with the use of words for one and for many,
the differentiation from the self from the group. We still say
'numero uno' to speak of ourselves.
"Taiji" (also
termed as "Dayi" or "Taiyi"), in the Mystical
Numbers of Taoism, represents the ONE, the Ultimate, the Order.
The martial art known as "Taijiquan" based its movement's
philosophies upon the notion of Taiji.
In
the English language, there is a word with just ONE vowel which
occurs 6 times: indivisibility.
| ONE
in different languages |
Reconstructed
proto-language: | *TIK |
Indo-european | *OIN-, *OIW-
|, | *SEM- |
Sanskrit | EKAS |
Proto-Hellenic | *HEMS |, Greek, Attic | ἙΙΣ HEIS |
Latin | VNVS, -A |, Archaic
Latin | ŒNVS, -A |, | OINVS,
-A | |
| Italian,
Spanish uno; Romanian, French, and Catalan un;
Provençal uns; Portuguese um; Romansh in. |
| Old
Germanic | AINAZ | |
| Dutch een;
German eins; Danish en, et. |
| Old
Slavic | JEDINU | |
| Russian один odín;
Czech jeden. |
Evolution
from 'seal
script' to modern sinograph 一 :
Old Chinese (pron.) | iêt | |
| Chinese 一 yī. 幺 yāo is
used as a replacement for yī in series of digits
such as phone numbers, room numbers, etc... to prevent confusion
between similar sounding words. |
Semitic
root | WHD | or | ?HD |
(? = glotal stop)
Ancient Egyptian [w'.-] ua-; Akkadian ishte'n. |
| Arabic واحِد wa:hid;
Hebrew אחת 'aHat; Maltese: wiehed;
Amharic and. |
HIDDEN
ROOTS
The roots of the word one (un-, sim-)
are hidden in the following words: inch, onion, ounce, primal,
primrose, prince, simple, single, simulate, unanimous, unicorn,
uniform, unify, union, unique, unit, universe; alone, any,
lonely, only, none. In French: ensemble, oignon, premier, printemps,
sanglier, semblable, sincère. |
|

1.41 |
is
also called Pythagoras' constant.
is the ratio of diagonal to side length in a square.
≈ 1.4142135623
7309504880 1688724209 6980785696 7187537694 8073176679 7379907324
7846210703 8850387534 3276415727 3501384623 0912297024 9248360558
5073721264 4121497099...
One
of the earliest numerical approximation of 2 was
found on a Babylonian
clay tablet (from the Yale Babylonian Collection), dated
approximately to between 1800 B.C. and 1600 B.C. The annotations
on this tablet give an impressive numerical approximation in
four sexagesimal figures:
1 + 24/60 + 51/602 + 10/603 = 1.41421296...
≈ (Pn+1 -
Pn)/Pn (P = Pell
numbers)
≈ 17/12
≈ 99/70
≈ 1.0110101000001001111...2
=
2sinus(45°) = 2cosinus(45°)
= 1 + (1 / (2 + (1 / (2 + (1 / (2 + ... ))))))
= ( i + i i)
/ i
If
you want to have some fun with 2:
start with the very rough approximation 7/5. Then
(7+5+5)/(7+5) = 17/12
(17+12+12)/(17+12) = 41/29
(41+29+29)/(41+29) = 99/70
(99+70+70)/(99+70) = 239/169
...
continuing closer approximations of 2
-
posted by Larry Bickford -
Writing
numbers using only square roots of 2:
3 = -log2log2 ( ( 2))
4 = -log2log2 ( ( ( 2)))
5 = -log2log2 ( ( ( ( 2))))
6 = -log2log2 ( ( ( ( ( 2)))))
... etc.
ISO
paper sizes are all based on a single aspect ratio of the square
root of two, or approximately 1:1.4142. Basing paper upon this
ratio was conceived by Georg Lichtenberg in 1786, and at the
beginning of the 20th century, Dr Walter Porstmann turned Lichtenberg's
idea into a proper system of different paper sizes.
|

1.62 |
is
the Golden Number,
also called Phi.
Golden Number property: ( +
1)/ = /1
The
fraction 1/998999 contains Fibonacci numbers, i.e.:
1/998999=0.000001001002003005008013021034055089...
Radii
at 0° and approximately 222.49° divide a circle in the
golden ratio: B/A = /1
=
( 5
+ 1)/2
= 1 + (1 / (1 + (1 / (1 + (1 / (1 + ... ))))))
= ( 4
+ (4!
- 4))/4
= -2sin(666)
≈ Fn+1 / Fn (F = Fibonacci
numbers)
≈ 1.61803
39887 49894 84820 45868 34365 63811...
The
3184th Fibonacci number is an apocalypse number (Apocalpyse numbers
are numbers having exactly 666 digits).
|

1.73 |
is
also known as Theodorus' constant (it is named after Theodorus of
Cyrene, who proved that the square roots of the numbers from
3 to 17, excluding 4, 9, and 16, are irrational).
is the diagonal of a cube having 1-unit sides.
is the height of an equilateral triangle having 2-unit sides.
The
shape 'Vesica
piscis' (fish bladder) has a major axis/minor axis ratio
equal to the square root of 3, this can be shown by constructing
two equilateral triangles within it.
≈ 1.7320508075
6887729352 7446341505 8723669428 0525381038 0628055806 9794519330
1690880003 7081146186 7572485756 7562614141 5406703029 9699450949
9895247881 1655512094...
=
2sinus(60°) = 2sinus(30°)
= 1 + (1 / (1 + (1 / (2
+ (1 / (1 + (1
/ 2 + ...
)))))))
≈ 97/56
≈ 1.1011101101100111101...2
|
2
|
is
the only even prime.
is the first taxicab number
(trivial). -
posted by Charles Rathbone
there
is no natural number n greater than 2 for which x2+
y2 = z2 is true (see Fermat's
last conjecture).
n2 ± n
is always divisible by 2.
2 +
2 = 2 x 2 = 22
= 33 - 52
= 42 - 32 - 22 - 12
= (32 + 42 + 52 + 62 +
72 + 82 + 92)/
(12 + 22 + 32 + 42 +
52 + 62 + 72)
= 2+( 2+( 2+( ...
)))
= (3
+ 2 2)
- (3
- 2 2)
= 3 (6 3
+ 10) - 3 (6 3
- 10)
= loga a2
=(1
+ i)(1 - i)
27= 712 -
173
is
the smallest prime that can grow 7 times by the right:
2 is prime,
29 is prime,
293 is prime,
2939 is prime,
29399 is prime,
293999 is prime,
2939999 is prime.
29399999 is prime.
When
you increase the area of a square of 1 unit-square, the side n of
this square - for n > 3 - increases approximately
of 1/2n. For example: (12 +
122) ≈ 12 + 1/(2 x 12) ≈ 12.0416... -
G. Sarcone
Curiosity...
An everyday example when 1 + 1 ≠ 2:
1 liter of water + 1 liter of alcohol = 1.926 liters of liquid
"Liangyi" (Number
2), in the Mystical Numbers of Taoism, symbolizes the Twin, the
First Division, the Duality of Opposites (Yin/Yang).
In
Cantonese the number two is fortunate, because it sounds similar
to "easy" in the dialect.
The two-second
rule is an easy way to make sure you have left enough
following distance between your car and the vehicle in front,
no matter what speed you're travelling at. To check if you
are travelling two seconds behind the vehicle in front:
- watch the vehicle in front of you pass a landmark (such as a
sign, tree, or power pole) at the side of the road,
- as it passes the landmark, start counting 'One thousand and one,
one thousand and two',
- if you pass the landmark before you finish saying those eight
words, you are following too closely. Slow down, pick another landmark
and repeat the words to make sure you have increased your following
distance. -- Source Land
Transport NZ.
The
most common two-letter words in order of frequency are: of, to,
in, it, is, be, as, at, so, we, he, by, or, on, do, if, me, my,
up, an, go, no, us, am.
A
honey bee must tap TWO million flowers to make ONE pound of honey!
"A
man is a person who will pay two dollars for
a one-dollar item he wants. A woman will pay one dollar for a
two-dollar item she doesn't want..." -- William
Binger
| TWO
in different languages |
Reconstructed
proto-language: | *PAL |
Indo-european | *DWI-, *DUWO-
|
Sanskrit | DVAU, DVE |
Proto-Hellenic | *DWO |, Greek, Attic | ΔΎΩ DUO |
Latin | DVO, -Æ |,
| BI- |, Archaic Latin | DWO |, | DWI-
| |
| Italian due;
French deux; Spanish and Catalan dos; Provençal dous, dos;
Portuguese dois, duas; Romanian doi, două;
Romansh dus, duas. |
| Old
Germanic | TWAIZ | |
| Dutch twee;
German zwei (often zwo is used to avoid
confusion with drei, 3); Danish and Norvegian to. |
| Old
Slavic | DUVA | |
| Russian два dva;
Czech dva. |
Evolution
from 'seal
script' to modern sinograph 二 :
Old Chinese (pron.) | ñzhi | |
| Chinese 二 èr (is
used for numbers and in counting) / 两 liǎng (is
used when counting objects or persons). |
Semitic
root | Th-N |, derived verb 'thny', to repeat.
Proto-Semitic | *ThNÂ |
Ancient Egyptian [sn.-] sen; Akkadian shena |
| Arabic اِثنان ithna:n;
Hebrew שתיים shtayim;
Maltese: tnejn; Amharic hulät. |
HIDDEN
ROOTS
The roots of the word two are hidden
in the following words: balance, bezel, bicycle, binary, biscuit,
combine, diploma, diptych, double, doubt, duel, duet, duplex,
duplicate, pinochle; between, twist, twice, twill, twin; Mishnah.
In French: bafouiller, berlue, besace, bévue, bigle,
binocle, bisquer, brouette (< bis-rouette). |
|

2.24 |
is
an irrational number involved in the formula for the Golden
ratio.
is also used in statistics when dealing with 5-business day weeks.
is the hypothenuse of a right triangle having 1 and 2-unit sides.
is the diagonal a rectangular box having 1, 2
and 2-unit
sides.
=
ei +
2
≈ 2.2360679774
9978969640 9173668731 2762354406 1835961152 5724270897 2454105209
2563780489 9414414408 3787822749 6950817615 0773783504 2532677244
4707386358 6360121533...
≈ 85/38
≈ 10.0011110001101111...2
|
e
2.72
|
Discovered
by the Scottish mathematician John
Napier of Merchistoun.
e stands for exponens (in Latin,
'exponential')
= 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + 1/5! + 1/6! + ...
e has
this mathematical property:
≈ 2.7182818284
5904523536 0287471352 6624977572 4709369995 9574966967 6277240766
3035354759 4571382178 5251664274 2746639193 2003059921 8174135966
2904357290 0334295260...
≈ 6 ( 4 + 5) (mathematical
coincidence)
eia =
cos a + i sin a
Ln x ≡ loge x
log x =
log e · Ln x
Benjamin
Peirce suggested the innovative notation, that looked like a
paper clip, for e and shown
below:

From J. D. Runkin's Mathematical Monthly, vol. I, No. 5, Feb. 1859
|
3
|
is
the only prime 1 less than a perfect square. -
Robin Regan
is the number of spatial dimensions needed to mathematically describe
a solid.
are the primary colors.
are
the geometric constructions you cannot build using just a ruler
and compasses: 1. You cannot trisect - divide into three equal
parts - a given angle; 2. Double a cube; and 3. Square a circle.
A number
is divisible by 3 when the sum of its digits can be divided by
3.
If the
denominator of a rational number is not divisible by 3,
then the repeating part of its decimal
expansion is an integer divisible by 9. Example: 1/7 = 0.142857...
has a repeating part '142857' divisible by 9. Another example
with a larger recurring
decimal: 1/23 = 0.0434782608695652173913... has a repeating
part '0434782608695652173913' divisible by 9.
3 + 2 =
log2 32
3 +
1.5 = 3 x 1.5
32 = 3! + 3
32 = 52 - 42
33 = 63 - 53 - 43
33 = 32 + 32 + 32
= 4
! / (4 x 4)
= 17,469
/ 5,823 (this division contains all digits 1 through
9 once)
3 x
51249876 = 153749628 (the multiplication uses
all 9 digits once - and so does its product!)
34 x
425 = 34425
3
is the minimum colors needed to create camouflage patches, usually
used in military compounds and vehicles. -
posted by George Pantazis
A
3 x 3 alphamagic
square is a magic
square for which the number of letters in the word for each
number generates another magic square, for instance:
|
|
| five (4) |
twenty-two (9) |
eighteen (8) |
| twenty-eight (11) |
fifteen (7) |
two (3) |
| twelve (6) |
eight (5) |
twenty-five (10) |
|
A 3 x
6 rectangle has an area equal to its perimeter.
In
one gram of water the number of molecules is about:
3.3 x 1022 = 33000000000000000000000
The Shadok's numbers
are a kind of base-3 numeration system:
| 0
is Ga |
 |
4
is Buga |
 |
8
is Zoga |
 |
12
is Meuga |
 |
| 1
is Bu |
 |
5
is Bubu |
 |
9
is Zobu |
 |
13
is Meubu |
 |
| 2
is Zo |
 |
6
is Buzo |
 |
10
is Zozo |
 |
14
is Meuzo |
 |
| 3
is Meu |
 |
7
is Bumeu |
 |
11
is Zomeu |
 |
15
is Meumeu |
 |
The
letters A, F, H, K, N, Y and Z are
made up with 3 lines.
In
SMS language <3 means
'I love you', and <333,
'I love you so much'.
3
hundred millions of Indians live with less than 1 dollar per
day (2004).
An octopus
has 3 hearts.
The
number 3 symbolizes the principle of growth. In Guangdong province,
China, three is associated with living or giving birth.
"Sanqing" (also
known as "Sanxing" or "Sancai"), in the Mystical
Numbers of Taoism, represents the number 3 and symbolizes the
Three Luminaries: Sun, Moon, Stars. It also defines the concept
of "Heaven, Mankind, Earth" as well as "Upper,
Centre, Lower".
Deep
thought: "There are 3 kinds of people: those who can count
and those who can't".
Riddle
1: Spell 'mousetrap' in 3 letters...
Answer: C-A-T.
Riddle
2: Spell 'water' in 3 letters...
Answer: H-2-O.
Joke: Chuck
Norris once won a game of Connect
Four in 3 moves!
The
French sentence 'un bonhomme haut comme trois pommes' (a 3-apple-tall
fellow) and the German sentence 'ein Kerlchen drei Käse
hoch' (a 3-cheese-tall fellow) mean both a
pint-sized guy/child.
The
most common three-letter words in order of frequency are: the,
and, for, are, but, not, you, all, any, can, had, her, was, one,
our, out, day, get, has, him, his, how, man, new, now, old, see,
two, way, who, boy, did, its, let, put, say, she, too, use.
| THREE
in different languages |
Indo-european
| *TREYES, *TISORES, *TRI |
Sanskrit | TRAYAH, TISRAH, TRIINI |
Greek, Attic | TREIΣ TREIS, TRIA |
Latin | TRES, TRIA |, Archaic
Latin | *TREIES | |
| Italian tre;
French trois; Spanish and Catalan tres;
Provençal trei, tres; Portuguese três;
Romanian trei; Romansh trais. |
| Old
Germanic | THRIJIZ | |
| Dutch drie;
German drei; Danish and Norvegian tre. |
| Old
Slavic | TRI, TRIJE | |
| Russian три tri;
Czech tři. |
Evolution
from 'seal
script' to modern sinograph 三 :
Old Chinese (pron.) | sâm | |
| Chinese 三 sān. The
sinograph 零 is used as a replacement for sān in
legal and financial documents. |
Semitic
root | Th-L-Th |
Proto-Semitic | *SALATh |
Ancient Egyptian [ḫmt'-] khemet; Akkadian shalash. |
| Arabic ثلاثة thalathâ;
Hebrew שלושה shlôshah;
Maltese: tlieta; Amharic sost. |
| HIDDEN
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