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arXiv · 1309.3527

A Lower Bound for $τ(n)$ for $k$-Multiperfect Number

Keneth Adrian Dagal
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Abstract

A natural number $n$ is said to be $k$- multiperfect number if $σ(n) = k\cdot n$ for some integer $k>2$. In this paper, I will provide a lower bound for $τ(n)$ of any $k$- multiperfect numbers. The lower bound for $τ(n)$ will help in distinguishing if the number is $k$-multiperfect or not.

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Keneth Adrian Dagal. 2013-09-08. A Lower Bound for $τ(n)$ for $k$-Multiperfect Number. https://arxiv.org/abs/1309.3527

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