On the Congruence σ(n) ≡ 1(mod n), II  

作　　者：Meng LI Min TANG 

机构地区：[1]School of Mathematics and Computer Science,Anhui Normal University

出　　处：《Journal of Mathematical Research with Applications》2014年第2期155-160,共6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 a（n） denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if a（n） = kn ＋ 1. In this paper, we give some necessary properties of quasi-multiperfect numbers with four different prime divisors.Let k ≥ 2 be an integer, and let a（n） denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if a（n） = kn ＋ 1. In this paper, we give some necessary properties of quasi-multiperfect numbers with four different prime divisors.

关 键 词：quasiperfect number quasi-multiperfect number. 

分 类 号：O156[理学—数学]