# 3 – Wikipedia

natural number
natural act
3 ( three ) is a number, numeral and digit. It is the lifelike number following 2 and preceding 4, and is the smallest odd prime act and the only premier preceding a squarely count. It has religious or cultural significance in many societies .

## evolution of the Arabic digit

The consumption of three lines to denote the number 3 occurred in many writing systems, including some ( like Roman and Chinese numerals ) that are inactive in practice. That was besides the original representation of 3 in the Brahmic ( indian ) numerical notation. however, during the Gupta Empire the sign of the zodiac was modified by the summation of a curve on each course. The Nagari rotated the lines clockwise [ clarification needed ], ended each line with a inadequate down stroke on the right. In cursive script the three strokes were finally connected to form a glyph resembling a ⟨3⟩ with an extra stroke at the bottom : .

The indian digits spread to the Caliphate in the ninth century. The bottom stroke was dropped around the tenth century in the westerly parts of the Caliphate, such as the Maghreb and Al-Andalus, when a distinct variant ( “ western Arabic ” ) of the digit symbols developed, including modern western 3. In contrast, the Eastern Arabs retained and enlarged that stroke, rotating the digit once more to yield the modern ( “ Eastern ” ) Arabic digit “ ٣ “. [ 1 ]
text figures in assorted fonts : Adobe Garamond, Adobe Caslon, Theano Didot and Essonnes Text In most advanced western typefaces, the digit 3, like the early decimal digits, has the height of a capital letter, and sits on the baseline. In typefaces with text figures, on the early hand, the glyph normally has the height of a lowercase letter “ ten ” and a descender : “ “. In some french text-figure typefaces, though, it has an ascender rather of a descender. A coarse graphic variant of the digit three has a flat clear, similar to the letter Ʒ ( ezh ). This phase is sometimes used to prevent falsifying a 3 as an 8. It is found on UPC-A barcodes and standard 52-card decks .

## Mathematics

3 is :
Three is the only premier which is one less than a perfect square. Any other number which is n 2 − 1 for some integer n is not prime, since it is ( n − 1 ) ( n + 1 ). This is true for 3 arsenic well ( with n = 2 ), but in this lawsuit the smaller factor is 1. If n is greater than 2, both n − 1 and n + 1 are greater than 1 so their product is not prime. A natural total is divisible by three if the sum of its digits in base 10 is divisible by 3. For model, the numeral 21 is divisible by three ( 3 times 7 ) and the total of its digits is 2 + 1 = 3. Because of this, the change by reversal of any number that is divisible by three ( or indeed, any substitution of its digits ) is besides divisible by three. For example, 1368 and its reverse 8631 are both divisible by three ( and so are 1386, 3168, 3186, 3618, etc. ). See besides Divisibility rule. This works in foundation 10 and in any positional numeral system whose basal divided by three leaves a remainder of one ( bases 4, 7, 10, etc. ). Three of the five Platonic solids have trilateral faces – the tetrahedron, the octahedron, and the icosahedron. besides, three of the five Platonic solids have vertices where three faces meet – the tetrahedron, the hexahedron ( cube ), and the dodecahedron. furthermore, only three unlike types of polygons comprise the faces of the five Platonic solids – the triangle, the square, and the pentagon. There are only three distinct 4×4 panmagic squares. According to Pythagoras and the Pythagorean educate, the number 3, which they called triad, is the noblest of all digits, as it is the merely number to equal the summarize of all the terms below it, and the entirely number whose sum with those below equals the intersection of them and itself. [ 2 ] The trisection of the slant was one of the three celebrated problems of antiquity. Gauss proved that every integer is the sum of at most 3 triangular numbers .

### numeral systems

There is some tell to suggest that early valet may have used counting systems which consisted of “ One, Two, Three ” and thereafter “ many ” to describe counting limits. early peoples had a password to describe the quantities of one, two, and three but any quantity beyond was merely denoted as “ many ”. This is most likely based on the preponderance of this phenomenon among people in such disparate regions as the deep Amazon and Borneo jungles, where western civilization ‘s explorers have historic records of their first encounters with these autochthonal people. [ 3 ]

### tilt of basic calculations

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 50 100 1000 10000
3 × x 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 150 300 3000 30000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
3 ÷ x 3 1.5 1 0.75 0.6 0.5 0. 428571 0.375 0. 3 0.3 0. 27 0.25 0. 230769 0.2 142857 0.2 0.1875 0.1 7647058823529411 0.1 6 0.1 57894736842105263 0.15
x ÷ 3 0. 3 0. 6

1 1. 3 1. 6 2 2. 3 2. 6 3 3. 3 3. 6 4 4. 3 4. 6 5 5. 3 5. 6 6 6. 3 6. 6
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
3x 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 387420489 1162261467 3486784401
x3 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000

## skill

• In European alchemy, the three primes (Latin: tria prima) were salt (), sulfur () and mercury ().[5][6]
• The three doshas (weaknesses) and their antidotes are the basis of Ayurvedic medicine in India.

### pseudoscience

• Three is the symbolic representation for Mu, Augustus Le Plongeon’s and James Churchward’s lost continent.[7]
• In Pythagorean numerology the number 3 is the digit that represents the communication. It encourages the expansion of creativity, sociability between people and movement.

## religion

symbol of the Triple Goddess showing the waxing, fully and decline Moon many populace religions contain triple deities or concepts of trinity, including :

### buddhism

• The Triple Bodhi (ways to understand the end of birth) are Budhu, Pasebudhu, and Mahaarahath.
• The Three Jewels, the three things that Buddhists take refuge in.

### shinto

• The Imperial Regalia of Japan of the sword, mirror, and jewel.

### zoroastrianism

• The three virtues of Humata, Hukhta and Huvarshta (Good Thoughts, Good Words and Good Deeds) are a basic tenet in Zoroastrianism.

### Norse mythology

Three is a very significant number in Norse mythology, along with its powers 9 and 27 .

• Prior to Ragnarök, there will be three hard winters without an intervening summer, the Fimbulwinter.
• Odin endured three hardships upon the World Tree in his quest for the runes: he hanged himself, wounded himself with a spear, and suffered from hunger and thirst.
• Bor had three sons, Odin, Vili, and Vé.

### As a lucky or doomed total

Three ( 三, dinner dress write : 叁, pinyin sān, Cantonese : saam 1 ) is considered a adept number in taiwanese culture because it sounds like the word “ animated ” ( 生 pinyin shēng, yue : saang 1 ), compared to four ( 四, pinyin : , yue : sei 1 ), which sounds like the parole “ death ” ( 死 pinyin , yue : sei 2 ). Counting to three is common in situations where a group of people wish to perform an action in synchronism : Now, on the count of three, everybody pull! Assuming the counterpunch is proceeding at a uniform pace, the first two counts are necessary to establish the rate, and the consider of “ three ” is predicted based on the time of the “ one ” and “ two ” before it. Three is likely used rather of some early number because it requires the minimal come counts while setting a rate. There is another superstition that it is doomed to take a third base light, that is, to be the third base person to light a cigarette from the same couple or light. This superstition is sometimes asserted to have originated among soldiers in the trenches of the First World War when a sniper might see the inaugural inner light, take target on the second and fire on the third. [ citation needed ] The phrase “ third fourth dimension ‘s the charm “ refers to the superstition that after two failures in any endeavor, a third base try is more likely to succeed. This is besides sometimes seen in reverse, as in “ third man [ to do something, presumably prevent ] gets caught ”. [ citation needed ] Luck, specially bad luck, is much said to “ come in threes ”. [ 19 ]

## film

For a list of films called 3, Three, etc., see 3 ( disambiguation ) § Film

## References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 46–48