In Mathematics
As a power of 2 it has an aliquot sum one less than itself; 15, and is the fifth composite member of the 3-aliquot tree having the 7 member aliquot sequence (16, 15, 9, 4, 3, 1, 0).
Sixteen is the first number to be the aliquot sum of a lesser number; 12, it is also the aliquot sum of the greater number; the discrete semiprime, 26. It is the fourth power of two.
Sixteen is the only integer that equals mn and nm, for some unequal integers m and n (m = 4, n = 2, or vice versa). It has this property because 22 = 2 × 2. It is also equal to 32 (see tetration).
15 and 16 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
Since it is possible to find sequences of 16 consecutive integers such that each inner member shares a factor with either the first or the last member, 16 is an Erdős–Woods number. The smallest such range of 16 consecutive integers is from 2184 to 2200..
In bases 20, 24 and 30, sixteen is a 1-automorphic number (displayed as the numeral 'G').
16 is a centered pentagonal number
16 is the base of the hexadecimal number system, which is used extensively in computer science
16 appears in the Padovan sequence, preceded by the terms 7, 9, 12 (it is the sum of the first two of these)
Read more about this topic: 16 (number)
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