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 σ(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 σ(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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