(1.School of Mathematics and Statistics, Kashi University, Kashi 844000, Xinjiang, China;2.Research Center of Modern Mathematics and Its Application, Kashi, 844000, Xinjiang, China)
Abstract:If a positive integer n satisfied σ(n)=2n-d, then n is called a deficient-perfect number with deficient divisor d, where d is a divisor of n. The deficient-perfect numbers with deficient divisor d have been highly noticed by the researchers of number theory. The problem that whether an odd positive integer n with six distinct odd prime factors is odd deficient-perfect number is discussed, and some characterizations on its property are given based on the elementary method.