Meaning of hyperperfect number | Babel Free

Definitions

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.

Examples

“1966, American Mathematical Society Translations, page 258, […] the asymptotic density of all hyperperfect numbers, that is, numbers m for which m | σ(m), is equal to zero.”

“The rank of a hyperperfect number N is the ratio of divisor sum to N (which equals 2 for perfect numbers).”

“In 1974, Daniel Minoli and Robert Bear described a number of properties of hyperperfect numbers.”

CEFR level