On the Congruence σ(n) ≡ 1 (mod n)  

作　　者：Min TANG Meng LI 

机构地区：[1]School of Mathematics and Computer Science,Anhui Normal University,Anhui 241003,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第6期673-676,共4页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10901002);the Natural Science Foundation of Anhui Province (Grant No. 1208085QA02)

摘　　要：Let k ≥ 2 be an integer, and let σ（n） denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if σ（n） = kn ＋ 1. In this paper, we give some necessary properties of them.Let k ≥ 2 be an integer, and let σ（n） denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if σ（n） = kn ＋ 1. In this paper, we give some necessary properties of them.

关 键 词：quasiperfect number quasi-multiperfect number. 

分 类 号：O152.7[理学—数学] O153.3[理学—基础数学]