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On modular happy numbers
Journal article   Open access

On modular happy numbers

Raghib Abusaris, Omar Bayyati and King Saud bin Abdelaziz University for Health Science
Notes on number theory and discrete mathematics, Vol.24(2), pp.117-124
06/2018
DOI: https://doi.org/10.7546/nntdm.2018.24.2.117-124

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we investigate the asymptotic behavior of the sequences generated by iterating the process of summing the modular powers of the decimal digits of a number. In particular, we identify all modular happy numbers. A number is called modular happy if the sequence obtained by iterating the process of summing the modular powers of the decimal digits of the number ends with 1.
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https://doi.org/10.7546/nntdm.2018.24.2.117-124View
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