English Dictionary

hyperperfect number

noun

(mathematics, number theory) Any natural number n for which, for some positive integer k, n = 1 + k(σ(n) - n - 1), where σ(n) is the sum of the positive divisors of n.

A hyperperfect number is a positive integer that is equal to the sum of its proper divisors plus 1.

意味（1）

(mathematics, number theory) Any natural number n for which, for some positive integer k, n = 1 + k(σ(n) - n - 1), where σ(n) is the sum of the positive divisors of n.

[…] the asymptotic density of all hyperperfect numbers, that is, numbers m for which m | σ(m), is equal to zero.