On k-Near Perfect Numbers


Abstract views: 113 / PDF downloads: 63

Authors

  • V. Puneeth Department of Mathematics, Christ (Deemed to be University), Bengaluru, Karnataka, India
  • T. V. Joseph Department of Mathematics, Christ (Deemed to be University), Bengaluru, Karnataka, India

Keywords:

Divisor Function, Mersenne Prime, Fermat Prime, Perfect Number, Near Perfect Number, k-Near Perfect Number

Abstract

A positive integer $n$ is said to be k-near perfect number, if $$\sigma(n)=2n+\sum_{i=1}^{k} d_i$$ where $d_i$'s are proper divisors of $n$ and function $\sigma(n)$ is the sum of all positive divisors of $n$. In this paper we discuss some results concerning with k-near perfect numbers. Near perfect numbers are nothing but 1-Near Perfect Numbers.

Downloads

Published

15-06-2018

How to Cite

V. Puneeth, & T. V. Joseph. (2018). On k-Near Perfect Numbers. International Journal of Mathematics And Its Applications, 6(2 - B), 61–65. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/701

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.