16 (number)

16 (sixteen) is the natural number following 15 and preceding 17. It is the fourth power of two.

Contents

• Mathematics
• Hexadecimal
• Science
• Chemistry
• Psychology
• Technology
• Culture
• As a unit of measurement
• Age 16
• Other fields
• References
• External links

In English speech, the numbers 16 and 60 are sometimes confused, as they sound very similar.

Mathematics

16 is the ninth composite number, and a square number: 4 ² = 4 × 4 (the first non-unitary fourth-power prime of the form p⁴). It is the smallest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8.

Sixteen is the only integer that equals mⁿ and n^m, for some unequal integers m and n (${\displaystyle m=4}$, ${\displaystyle n=2}$, or vice versa). ^[1] It has this property because ${\displaystyle 2^{2}=2\times 2}$. It is also equal to ³2 (see tetration).

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

• Sixteen is the largest known integer n, for which ${\displaystyle 2^{n}+1}$ is prime.
• It is the first Erdős–Woods number. ^[2]
• There are 16 partially ordered sets with four unlabeled elements. ^[3]

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

The sedenions form a 16-dimensional hypercomplex number system.

Science

Technology

• In some computer programming languages, the size in bits of certain data types
• 16-bit computing
• A 16-bit integer can represent up to 65,536 values.
• In the 16-bit era, 16-bit microprocessor ran 16-bit applications

Culture

Other fields

• Many bank card numbers are 16 digits long.
• There are 16 pawns in a chess set and each player in a chess game starts with sixteen pieces.

Related Research Articles

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.

15 (fifteen) is the natural number following 14 and preceding 16.

21 (twenty-one) is the natural number following 20 and preceding 22.

33 (thirty-three) is the natural number following 32 and preceding 34.

70 (seventy) is the natural number following 69 and preceding 71.

32 (thirty-two) is the natural number following 31 and preceding 33.

34 (thirty-four) is the natural number following 33 and preceding 35.

46 (forty-six) is the natural number following 45 and preceding 47.

58 (fifty-eight) is the natural number following 57 and preceding 59.

64 (sixty-four) is the natural number following 63 and preceding 65.

It is:

135 is the natural number following 134 and preceding 136.

1,000,000, or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.

1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

100,000,000 is the natural number following 99,999,999 and preceding 100,000,001.

177 is the natural number following 176 and preceding 178.

1728 is the natural number following 1727 and preceding 1729. It is a dozen gross, or one great gross. It is also the number of cubic inches in a cubic foot.

240 is the natural number following 239 and preceding 241.

In number theory, the aliquot sums(n) of a positive integer n is the sum of all proper divisors of n, that is, all divisors of n other than n itself. That is,

888 is the natural number following 887 and preceding 889.

References

External links

Look up sixteen in Wiktionary, the free dictionary.

• Symonds, Ria; Parker, Matt. "16 x^y = y^x Sweet Sixteen". Numberphile. Brady Haran. Archived from the original on 31 May 2013. Retrieved 1 April 2013.