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From Wikipedia, the free encyclopedia
Integer number 2
This article is about the number. For the years, see2 BC andAD 2. For other uses, seeII (disambiguation) andNumber Two (disambiguation).

Natural number
← 12 3 →
Cardinaltwo
Ordinal2nd (second)
Numeral systembinary
Factorizationprime
Gaussian integer factorization(1+i)(1i){\displaystyle (1+i)(1-i)}
Prime1st
Divisors1, 2
Greek numeralΒ´
Roman numeralII, ii
Greekprefixdi-
Latinprefixduo-/bi-
Old Englishprefixtwi-
Binary102
Ternary23
Senary26
Octal28
Duodecimal212
Hexadecimal216
Greek numeralβ'
Arabic,Kurdish,Persian,Sindhi,Urdu٢
Ge'ez
Bengali
Chinese numeral二,弍,貳
Devanāgarī
Telugu
Tamil
Kannada
Hebrewב
ArmenianԲ
Khmer
Maya numerals••
Thai
Georgian Ⴁ/ⴁ/ბ(Bani)
Malayalam
Babylonian numeral𒐖
Egyptian hieroglyph,Aegean numeral,Chinese counting rod||
Morse code.._ _ _

2 (two) is anumber,numeral anddigit. It is thenatural number following1 and preceding3. It is the smallest and the only evenprime number.

Because it forms the basis of aduality, it hasreligious andspiritual significance in manycultures.

As a word

Two is most commonly adeterminer used withplural countable nouns, as intwo days orI'll take these two.[1]Two is anoun when it refers to the number two as intwo plus two is four.

Etymology oftwo

The wordtwo is derived from theOld English wordstwā (feminine), (neuter), andtwēġen (masculine, which survives today in the formtwain).[2]

The pronunciation/tuː/, like that ofwho is due to thelabialization of the vowel by thew, which then disappeared before the related sound. The successive stages of pronunciation for the Old Englishtwā would thus be/twɑː/,/twɔː/,/twoː/,/twuː/, and finally/tuː/.[2]

Mathematics

Aninteger is determined to beeven if it isdivisible by two. When written in base 10, allmultiples of 2 will end in0, 2, 4, 6, or8,[3] more generally, in any even base, even numbers will end with an even digit. 2 is the smallest and the only evenprime number, and the firstRamanujan prime.[4] It is also the firstsuperior highly composite number,[5] and the firstcolossally abundant number.[6]

Geometry

Adigon is a polygon with two sides (oredges) and twovertices.[7]: 52  Two distinctpoints in aplane are alwayssufficient to define a uniqueline in a nontrivialEuclidean space.[8]

Set theory

Aset that is afield has a minimum of twoelements.[9] ACantor space is atopological space2N{\displaystyle 2^{\mathbb {N} }}homeomorphic to theCantor set.[citation needed]

Base 2

See also:Binary number

Binary is a number system with abase of two, it is used extensively incomputing.[10]

List of basic calculations

Multiplication1234567891011121314151617181920212223242550100
2 ×x2468101214161820222426283032343638404244464850100200
Division1234567891011121314151617181920
2 ÷x210.60.50.40.30.2857140.250.20.20.180.160.1538460.1428570.130.1250.11764705882352940.10.1052631578947368420.1
x ÷ 20.51.522.533.544.555.566.577.588.599.510
Exponentiation1234567891011121314151617181920
2x24816326412825651210242048409681921638432768655361310722621445242881048576
x2192536496481100121144169196225256289324361400

Evolution of the Arabic digit

The digit used in the modern Western world to represent the number 2 traces its roots back to the IndicBrahmic script, where "2" was written as two horizontal lines. The modernChinese andJapanese languages (and KoreanHanja) still use this method. TheGupta 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 theNagari script, the top line was written more like a curve connecting to the bottom line. In the ArabicGhubar 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.[11]

In fonts withtext figures, digit 2 usually is ofx-height, for example,.[citation needed]

In science

  • The firstmagic number - number of electrons in the innermost electron shell of an atom.[12]

See also

References

  1. ^Huddleston, Rodney D.;Pullum, Geoffrey K.; Reynolds, Brett (2022).A student's introduction to English grammar (2nd ed.). Cambridge, United Kingdom:Cambridge University Press. p. 117.ISBN 978-1-316-51464-1.OCLC 1255524478.
  2. ^ab"two, adj., n., and adv.".Oxford English Dictionary (Online ed.).Oxford University Press. (Subscription orparticipating institution membership required.)
  3. ^Sloane, N. J. A. (ed.)."Sequence A005843 (The nonnegative even numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-12-15.
  4. ^"Sloane's A104272 : Ramanujan primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived fromthe original on 2011-04-28. Retrieved2016-06-01.
  5. ^"A002201 - OEIS".oeis.org. Retrieved2024-11-28.
  6. ^"A004490 - OEIS".oeis.org. Retrieved2024-11-28.
  7. ^Wilson, Robin (2014).Four Colors Suffice (Revised color ed.). Princeton University Press.ISBN 978-0-691-15822-8.
  8. ^Carrell, Jim. "Chapter 1 | Euclidean Spaces and Their Geometry".MATH 307 Applied Linear Algebra(PDF).
  9. ^"Field Contains at least 2 Elements".
  10. ^"How computers see the world - Binary - KS3 Computer Science Revision".BBC Bitesize. Retrieved2024-06-05.
  11. ^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
  12. ^"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".www.sjsu.edu. Archived fromthe original on 2019-12-02. Retrieved2019-12-22.

External links

Wikimedia Commons has media related to:
2 (number) (category)
Look uptwo orboth in Wiktionary, the free dictionary.
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