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16 (number)

From Wikipedia, the free encyclopedia
"XVI" redirects here. For other uses, see16 (disambiguation).

Natural number
← 1516 17 →
Cardinalsixteen
Ordinal16th
(sixteenth)
Numeral systemhexadecimal
Factorization24
Divisors1, 2, 4, 8, 16
Greek numeralΙϚ´
Roman numeralXVI,xvi
Binary100002
Ternary1213
Senary246
Octal208
Duodecimal1412
Hexadecimal1016
Hebrew numeralט"ז / י"ו
Babylonian numeral𒌋𒐚

16 (sixteen) is thenatural number following15 and preceding17. It is thefourthpower of two. In English speech, the numbers 16 and60 are sometimes confused, as they sound similar.

Mathematics

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16 is the ninthcomposite number, and asquare number:42 = 4 × 4 (the first non-unitary fourth-powerprime of the formp4). It is the smallest number with exactly fivedivisors, its proper divisors being1,2,4 and8.

Sixteen is the only integer thatequalsmn andnm, for some unequal integersm andn (m=4{\displaystyle m=4},n=2{\displaystyle n=2}, or vice versa).[1] It has this property because22=2×2{\displaystyle 2^{2}=2\times 2}. It is also equal to32 (seetetration).

The aliquot sum of 16 is15, within analiquot sequence of four composite members (16,15,9,4,3,1,0) that belong to the prime3-aliquot tree.

16 is the only number that can be both the perimeter and area of the same square, due to42{\displaystyle 4^{2}} being equal to4×4.{\displaystyle 4\times 4.}

Thesedenions form a 16-dimensionalhypercomplex number system.

Hexadecimal

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Sixteen is the base of thehexadecimal number system, which is used extensively incomputer science.

Technology

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Culture

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As a unit of measurement

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A lowpower of two, 16 was used in weighing light objects in several cultures. Early civilizations utilized theweighing scale as a means to measure mass, which made splitting resources into equal parts a simple task.[4][5] In theimperial system, 16ounces equivalates to onepound. Until theState Council of the People's Republic of China decreed a decimal conversion for currency in 1959,[6] China equivalated 16liǎng to onejīn. Chinese Taoists did finger computation on the trigrams and hexagrams by counting the finger tips and joints of the fingers with the tip of the thumb. Each hand can count up to 16 in such manner. The Chinese abacus uses two upper beads to represent the 5s and 5 lower beads to represent the 1s, the 7 beads can represent a hexadecimal digit from 0 to 15 in each column.

Age 16

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References

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  1. ^David Wells (1987).The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books. p. 93.
  2. ^"Sloane's A059756 : Erdős–Woods numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved4 December 2020.
  3. ^Sloane, N. J. A. (ed.)."Sequence A000112 (Number of partially ordered sets (posets) with n unlabeled elements)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^Morley, Iain; Renfrew, Colin (2010).The Archaeology of Measurement: Comprehending Heaven, Earth and Time in Ancient Societies. Cambridge University Press. pp. 88–105.ISBN 9780511760822.
  5. ^Petruso, Karl M. (1981)."Early Weights and Weighing in Egypt and the Indus Valley".M Bulletin (Museum of Fine Arts, Boston).79:44–51.ISSN 0739-5736.JSTOR 4171634.
  6. ^"(in Chinese) 1959 Gazette of the State Council of the People's Republic of China".gov.cn. Retrieved1 November 2024.
  7. ^"Age of Consent By State". Archived fromthe original on 17 April 2011.
  8. ^"Age of consent for sexual intercourse".Avert. Archived fromthe original on 22 April 2011.

External links

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Look upsixteen in Wiktionary, the free dictionary.
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