Authors: Helen G. Grundman
Source: Rocky Mountain Journal of Mathematics, Volume: 54, Issue: 2, Pages: 491-494, DOI: 10.1216/rmj.2024.54.491, April 2024
Type of Publication: Article
Abstract: Fix a base bâ„2 and an exponent eâ„2. An đ-power đ-happy number is a positive integer that reaches 1 under iteration of the function mapping a positive integer to the sum of the đ-th powers of its base đ digits. In this note, we answer the question of how large the gaps between đ-power đ-happy numbers can be.
Mathematics