Concept information
Preferred term
hemiperfect number
Definition
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In number theory, a hemiperfect number is a positive integer with a half-integer abundancy index. In other words, σ(n)/n = k/2 for an odd integer k, where σ(n) is the divisor function, the sum of all positive divisors of n. The first few hemiperfect numbers are:
- 2, 24, 4320, 4680, 26208, 8910720, 17428320, 20427264, 91963648, 197064960, ... (sequence A159907 in the OEIS)
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hemiperfect_number)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-CSBDK0XG-N
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