hyperperfect number
hyperperfect number noun: 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.
Noun
hyperperfect number (plural hyperperfect numbers)
- 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.1966, American Mathematical Society Translations, page 258
- The rank of a hyperperfect number N is the ratio of divisor sum to N (which equals 2 for perfect numbers).1974, William Judson LeVeque, editor, Reviews in number theory, as printed in Mathematical reviews, 1940 through 1972, volumes 1-44 inclusive, volume 1, page 107
Forms of hyperperfect number
| plural | hyperperfect numbers |
|---|
Origin of hyperperfect number
From hyper- + perfect number.
Words formed from hyperperfect number
- -hyperperfect number
Questions about hyperperfect number
- What does hyperperfect number mean?
- Hyperperfect number means 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.
- What part of speech is hyperperfect number?
- Hyperperfect number is a noun.
- What is the plural of hyperperfect number?
- The plural of hyperperfect number is hyperperfect numbers.
Words near hyperperfect number in the dictionary
Source and license
Adapted from Wiktionary: hyperperfect number (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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