A note on odd perfect numbers

Details A note on odd perfect numbers A note on odd perfect numbers

2011-03-08

arxiv.org/abs/1103.1437v3

Mathematics

Number Theory

9 pages

Scientific paper

In this note, we show that if $N$ is an odd perfect number and $q^{\alpha}$
is some prime power exactly dividing it, then
$\sigma(N/q^{\alpha})/q^{\alpha}>5$. In general, we also show that if
$\sigma(N/q^{\alpha})/q^{\alpha}bounded by some function depending on $K$.

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