Perfect Number Theory Abstraction Version 2 by Randall Nyhof - Royalty Free and Rights Managed Licenses

Randall Nyhof

Grand Rapids, MI

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Perfect Number Theory Abstraction Version 2

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Randall Nyhof

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Perfect Number Theory Abstraction is based on a number theory in which a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.
The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself; in symbols, σ1(n) = 2n where σ1 is the sum-of-divisors function. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28.

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Perfect Number Theory Abstraction Version 2

Randall Nyhof

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