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Open Journal of Mathematical Sciences (OMS)

ISSN: 2523-0212 (Online) 2616-4906 (Print)
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  • Research article

On 3-perfect numbers

Misyakov Viktor Mikhailovich1
1Faculty of Mechanics and Mathematics, Tomsk State University, Russia,
Copyright © Misyakov Viktor Mikhailovich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 30/11/2025
  • Revised: 20/02/2026
  • Accepted: 01/01/2026
  • Published: 08/01/2026

Abstract

It is shown that every 3-perfect number in its prime factorization has the exponent of the number 2 which is greater than 1.

Keywords: k-perfect number, 3-perfect number