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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 153774 Total View: 1839436
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2020.06.001

On Modular Happy Numbers II

Raghib Abusaris 1,*, Sai'da Atawna 2

1 Department of Epidemiology and Biostatistics, College of Public Health and Health Informatics, King Saud bin Abdelaziz University for Health Science, Riyadh, Saudi Arabia.

2 Department of Economics Imam Malik Academy, Basaksehir, Istanbul, Turkey.

*Corresponding author: Raghib Abusaris, Department of Epidemiology and Biostatistics, College of Public Health and Health Informatics, King Saud bin Abdelaziz University for Health Science, Riyadh, Saudi Arabia.

Published: April 26,2020

Abstract

In this paper, we investigate the asymptotic behavior of the sequences generated by iterating the process of summing the powers modulo - 1 in base-b system where  is a power of prime. In particular, we identify modular happy numbers. Following the spirit of happy number [1, p. 374], a number is called b-modular happy if the sequence obtained by iterating the process of summig the powers modulo (- 1) in base-system ends with 1.

References

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How to cite this paper

On Modular Happy Numbers II

How to cite this paper: Raghib Abusaris, Sai'da Atawna. (2020) On Modular Happy Numbers II. Journal of Applied Mathematics and Computation, 4(2), 14-17.

DOI: http://dx.doi.org/10.26855/jamc.2020.06.001