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Issue:
On the Congruence σ(n) ≡ 1(mod n), II
Author(s):
Meng LI
,
Min TANG
,
School of Mathematics and Computer Science
,
Anhui Normal University
Pages:
155
-
160
Year:
2014
Issue:
2
Journal:
Journal of Mathematical Research and Exposition
Keyword:
quasiperfect number
;
quasi-multiperfect number.
;
Abstract:
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 quasi-multiperfect numbers with four different prime divisors.
Citations
Masao Kishore. On odd perfect, quasiperfect, and odd almost perfect numbers [J]. Mathematics of Computation . 1981 (154)
Masao Kishore. Odd integers $N$ with five distinct prime factors for which $2-10\sp{-12}<\sigma (N)/N<2+10\sp{-12}$ [J]. Mathematics of Computation . 1978 (141)
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