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The 7 pages that link to Perfect number, each with the reason it gives.
Divisor functionRelated: A perfect number satisfies σ(n)=2n.
Mersenne primeBroader topic: The formula 2^(p−1)(2^p−1) constructs one whenever 2^p−1 is prime.
Even numberRelated: Every known even perfect number has a form tied to a Mersenne prime.
Aliquot sequenceBroader topic: Its next term equals itself, producing a fixed-point sequence.
Aliquot sumBroader topic: A perfect number is a fixed point of the aliquot-sum operation.