Arithmetic functions | Arithmetic dynamics | Perfect numbers | Divisor function

Aliquot sum

In number theory, the aliquot sum s(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, It can be used to characterize the prime numbers, perfect numbers, "sociable numbers", deficient numbers, abundant numbers, and untouchable numbers, and to define the aliquot sequence of a number. (Wikipedia).

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Related pages

Untouchable number | Perfect number | Prime number | Iterated function | Number theory | Almost perfect number | Periodic sequence | Sociable number | Paul ErdΕ‘s | Deficient number | Divisor | Quasiperfect number | Aliquot sequence | Abundant number | Goldbach's conjecture | Divisor function