具有四个互异质因数的奇亏完全数的一些结论

Some Results on Odd Deficient-Perfect Numbers with Four Distinct Prime Factors

设n是一正整数,若σ（n）=2n-d,则n被称为亏度为d的亏完全数,这里的d为n的正真因数.利用初等的方法,讨论了具有四个互异质因数的形如n=3α117α2p3α3p4α4数是否是奇亏完全数的问题,给出了此形式奇数不是奇亏完全数的一些结论,这里p3〈p4.

For a positive integer n, if σ（n）=2n - d, then n is called a deficient-perfect number with deficient divisors d, where d is a proper divisor of n. The problem of the odd n=3α117α2p3α3p4α4 whether or not be a deficient-perfect number with four distinct prime factors was studied, and some results on n=3α117α2p3α3p4α4 is not a deficient-perfect number were presented, where P3 〈 p4.