On happy numbers
El-seidy, Essam; Siksek, Samir;
Abstract
The happy function T : N → N is the mapping which sends a natural number to the sum of the squares of its decimal digits. A happy number x is a natural number for which the sequence (Tn(x))n∞=1 eventually reaches 1. Guy asks in [1], problem E34, if there exist sequences of consecutive happy numbers of arbitrary length. In this paper we answer this question affirmatively. © 2000 Rocky Mountain Mathematics Consortium.
Other data
| Title | On happy numbers | Authors | El-seidy, Essam ; Siksek, Samir | Keywords | Digital problems;Happy numbers | Issue Date | 1-Jan-2000 | Journal | Rocky Mountain Journal of Mathematics | Volume | 30 | Issue | 2 | Start page | 565 | End page | 570 | ISSN | 00357596 | DOI | 10.1216/rmjm/1022009281 | Scopus ID | 2-s2.0-0034347761 |
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