Issues in nonlinear hyperperfect numbers

Author:
Daniel Minoli

Journal:
Math. Comp. **34** (1980), 639-645

MSC:
Primary 10A20

MathSciNet review:
559206

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Abstract: Hyperperfect numbers (HP) are a generalization of perfect numbers and as such share remarkably similar properties. In this note we show, among other things, that if is 2-HP then , with , ; this is in agreement with the structure of the perfect case (1-HP) stating that such a number is of the form with and .

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1980-0559206-9

Article copyright:
© Copyright 1980
American Mathematical Society