摘要
该文从完全数的定义出发,定义了k-约完全数,即一个等于它的能被正整数k整除的所有真因子之和的数,并得出了相关的公式、性质、定理,提出了所有的是k的倍数的真因子和及奇的真因子和大于或等于自身q倍的数,并给出了几个结论。
In this paper we define k- divisor perfect number due to the notion of perfect number, namely a number that equals the sum of all its proper divisors which can be divided by k. and obtained relevant formulas, theorems and properties .In addition, we also refered to the number, q multiples of which not exceeding the sum of its proper divisors which can be divided by k or its odd proper divisors giving several results.
出处
《梧州学院学报》
2007年第6期7-9,共3页
Journal of Wuzhou University
基金
国家自然科学基金资助项目(60563008)
广西自然科学基金资助项目(桂科自0728051)
关键词
完全数
K-约完全数
真因子和
perfect number
k-divisor perfect number
sum of proper divisors
