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 b - 1 in base-b system where b 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 (b - 1) in base-b system ends with 1.
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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