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2

Natural number

2

Natural number

FieldValue
number2
ordinal2nd (second)
numeralbinary
gaussian integer factorization(1 + i)(1 - i)
prime1st
divisor1, 2
romanII, ii
greek prefixdi-
latin prefixduo-/bi-
old english prefixtwi-
lang1Greek numeral
lang1 symbolβ'
lang2Arabic, Kurdish, Persian, Sindhi, Urdu
lang2 symbol
lang3Ge'ez
lang3 symbol
lang4Bengali
lang4 symbol
lang5Chinese numeral
lang5 symbol二,弍,貳
lang6Devanāgarī
lang6 symbol
lang7Santali
lang7 symbol
lang8Telugu
lang9Tamil
lang9 symbol
lang10Kannada
lang10 symbol
lang11Hebrew
lang11 symbol
lang12Armenianlang12 symbol=Բlang13=Khmer
lang13 symbol
lang14Maya numeralslang14 symbol=••lang15=Thai
lang15 symbol
lang16Georgian
lang16 symbol(Bani)
lang17Malayalam
lang17 symbol
lang18Babylonian numerallang18 symbol=𒐖lang19=Egyptian hieroglyph, Aegean numeral, Chinese counting rodlang19 symbol=lang20=Morse codelang20 symbol=
Note

This article is about the number. For the years, see 2 BC and AD 2. For other uses, see 2 (disambiguation), II (disambiguation), and Number Two (disambiguation).

2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and the only even prime number.

Because it forms the basis of a duality, it has religious and spiritual significance in many cultures.

Mathematics

The number 2 is the second natural number, after 1. Each natural number, including 2, is constructed by succession, that is, by adding 1 to the previous natural number. 2 is the smallest and the only even prime number, and the first Ramanujan prime. It is also the first superior highly composite number, and the first colossally abundant number.

An integer is determined to be even if it is divisible by two. When written in base 10, all multiples of 2 will end in 0, 2, 4, 6, or 8; more generally, in any even base, even numbers will end with an even digit.

A digon is a polygon with two sides (or edges) and two vertices. Two distinct points in a plane are always sufficient to define a unique line in a nontrivial Euclidean space.

A set that is a field has a minimum of two elements.

Binary is a number system with a base of two, it is used extensively in computing.

List of basic calculations

Multiplication123456789101112131415162025501001000
'*2 * *x'''''**2**[4](4-number)[6](6-number)[8](8-number)[10](10-number)[12](12-number)[14](14-number)[16](16-number)[18](18-number)[20](20-number)[22](22-number)[24](24-number)[26](26-number)[28](28-number)[30](30-number)[32](32-number)[40](40-number)[50](50-number)[100](100-number)[200](200-number)[2000](2000-number)
Division1234567891011121314151617181920
'*2 ÷ *x'''''**2**10.0.50.40.0.0.250.0.20.0.0.0.0.10.1250.0.0.0.1
***x* ÷ 2**0.511.5**2**2.533.544.555.566.577.588.599.510
Exponentiation1234567891011121314151617181920
**2****2**48[16](16-number)[32](32-number)[64](64-number)1282565121024[2048](2048-number)[4096](4096)[8192](8192)1638432768655361310722621445242881048576
***x***14[9](9-number)16[25](25-number)[36](36-number)[49](49-number)64[81](81-number)100121[144](144-number)169196225256289324361400

As a word

Two is most commonly a determiner used with plural countable nouns, as in two days or I'll take these two. Two is a noun when it refers to the number two as in two plus two is four.

The word two is derived from the Old English words twā (feminine), tū (neuter), and twēġen (masculine, which survives today in the form twain).

Evolution of the Arabic digit

The digit used in the modern Western world to represent the number 2 traces its roots back to the Indic Brahmic script, where "2" was written as two horizontal lines. The modern Chinese and Japanese languages (and Korean Hanja) still use this method. The Gupta script rotated the two lines 45 degrees, making them diagonal. The top line was sometimes also shortened and had its bottom end curve towards the center of the bottom line. In the Nagari script, the top line was written more like a curve connecting to the bottom line. In the Arabic Ghubar writing, the bottom line was completely vertical, and the digit looked like a dotless closing question mark. Restoring the bottom line to its original horizontal position, but keeping the top line as a curve that connects to the bottom line leads to our modern digit.

In science

  • The first magic number - number of electrons in the innermost electron shell of an atom.

References

References

  1. (1912). "''Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form''". G.P. Putnam's Sons.
  2. "Sloane's A104272 : Ramanujan primes". OEIS Foundation.
  3. "A002201 - OEIS".
  4. "A004490 - OEIS".
  5. {{Cite OEIS. A005843. The nonnegative even numbers
  6. Wilson, Robin. (2014). "Four Colors Suffice". Princeton University Press.
  7. Carrell, Jim. "MATH 307 Applied Linear Algebra".
  8. "Field Contains at least 2 Elements".
  9. "How computers see the world - Binary - KS3 Computer Science Revision".
  10. (2022). "A student's introduction to English grammar". [[Cambridge University Press]].
  11. {{Cite OED. two, adj., n., and adv.
  12. Georges Ifrah, ''The Universal History of Numbers: From Prehistory to the Invention of the Computer'' transl. David Bellos et al. London: The Harvill Press (1998): 393, Fig. 24.62
  13. "The Complete Explanation of the Nuclear Magic Numbers Which Indicate the Filling of Nucleonic Shells and the Revelation of Special Numbers Indicating the Filling of Subshells Within Those Shells". San José State University.
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