Concept information
Preferred term
hyperperfect number
Definition
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In number theory, a k-hyperperfect number is a natural number n for which the equality n = 1 + k(σ(n) − n − 1) holds, where σ(n) is the divisor function (i.e., the sum of all positive divisors of n). A hyperperfect number is a k-hyperperfect number for some integer k. Hyperperfect numbers generalize perfect numbers, which are 1-hyperperfect.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hyperperfect_number)
Broader concept
Synonym(s)
- k-hyperperfect number
In other languages
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French
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nombre k-hyperparfait
URI
http://data.loterre.fr/ark:/67375/PSR-NN65JB7S-Z
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