On Deficient Perfect Numbers with Four Distinct Prime Factors

Abstract

For a positive integer $n$, if $\sigma (n)$ denotes the sum of the positive divisors of $n$, then $n$ is called a deficient perfect number if $\sigma (n)=2n-d$ for some positive divisor $d$ of $n$. In this paper, we prove some results about odd deficient perfect numbers with four distinct prime factors.

11 pages, preprint version (journal version may differ). To appear in Asian-European Journal of Mathematics

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