| On the Congruence $\sigma(n)\equiv 1\pmod n$ |
| Received:June 05, 2012 Revised:September 07, 2012 |
| Key Words:
quasiperfect number quasi-multiperfect number.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10901002) and Anhui Provincial Natural Science Foundation (Grant No.1208085QA02). |
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| Abstract: |
| Let $k\geq 2$ be an integer, and let $\sigma(n)$ denote the sum of the positive divisors of an integer $n$. We call $n$ a quasi-multiperfect number if $\sigma(n)=kn+1$. In this paper, we give some necessary properties of them. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.06.006 |
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