On deficient-perfect numbers

Authors

  • M. Tang
  • M. Feng

Keywords:

almost perfect number, deficient-perfect number, near-perfect number

Abstract

For a positive integer \(n\), let \(\sigma(n)\) denote the sum of the positive divisors of \(n\). Let \(d\) be a proper divisor of \(n\), we call \(n\) a deficient-perfect number if \(\sigma(n) = 2n - d\). In this paper, we show that there is no odd deficient-perfect number with three distinct prime divisors. DOI: 10.1017/S0004972714000082

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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