Superperfect number
id:
superperfect-number-277-13786538
title:
Superperfect number
text:
In number theory, a superperfect number is a positive integer n that satisfies where σ is the divisor summatory function. Superperfect numbers are not a generalization of perfect numbers but have a common generalization. The term was coined by D. Suryanarayana (1969). The first few superperfect numbers are : To illustrate: it can be seen that 16 is a superperfect number as σ(16) = 1 + 2 + 4 + 8 + 16 = 31, and σ(31) = 1 + 31 = 32, thus σ(σ(16)) = 32 = 2 × 16. If n is an even superperfect number,
brand slug:
wiki
category slug:
encyclopedia
description:
Number whose divisors summed twice over equal twice itself
original url:
https://en.wikipedia.org/wiki/Superperfect_number
date created:
date modified:
2024-01-01T03:39:40Z
main entity:
{"identifier":"Q1164125","url":"https://www.wikidata.org/entity/Q1164125"}
image:
fields total:
13
integrity:
14