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

Keneth Adrian Dagal

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

Number Theory 2013-09-16 v1

Authors: Keneth Adrian Dagal

Abstract

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

Cite

@article{arxiv.1309.3527,
  title  = {A Lower Bound for $\tau(n)$ for $k$-Multiperfect Number},
  author = {Keneth Adrian Dagal},
  journal= {arXiv preprint arXiv:1309.3527},
  year   = {2013}
}

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