On odd deficient-perfect numbers with four distinct prime divisors

2019/08/14 by Sun, Cui-Fang, He, Zhao-Cheng
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1908.04932

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 the only odd deficient-perfect number with four distinct prime divisors is 3²⋅ 7²⋅ 11²⋅ 13².

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