BOUNDS FOR ODD k-PERFECT NUMBERS

Author:

CHEN SHI-CHAO,LUO HAO

Abstract

AbstractLet k≥2 be an integer. A natural number n is called k-perfect if σ(n)=kn. For any integer r≥1, we prove that the number of odd k-perfect numbers with at most r distinct prime factors is bounded by (k−1)4r3.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors;Doklady Mathematics;2023-06

2. AN UPPER BOUND FOR THE NUMBER OF ODD MULTIPERFECT NUMBERS;Bulletin of the Australian Mathematical Society;2013-01-28

3. NOTE ON ODD MULTIPERFECT NUMBERS;Bulletin of the Australian Mathematical Society;2012-09-17

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