Concept information
Preferred term
multiply perfect number
Definition
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In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number.
For a given natural number k, a number n is called k-perfect (or k-fold perfect) if the sum of all positive divisors of n (the divisor function, σ(n)) is equal to kn; a number is thus perfect if and only if it is 2-perfect. A number that is k-perfect for a certain k is called a multiply perfect number. As of 2014, k-perfect numbers are known for each value of k up to 11.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Multiply_perfect_number)
Broader concept
Entry terms
- multiperfect number
- pluperfect number
In other languages
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French
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nombre multiparfait
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nombre plus-que-parfait
URI
http://data.loterre.fr/ark:/67375/PSR-VDWH365V-5
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