2023/08/13 by Shoei Takahashi, Unchone Lee, Takahashi, Shoei +11
Business, Management and Accounting · #FOS: Mathematics #General Mathematics (math.GM) #Varied Academic Research Topics
paper · pdf · doi:10.48550/arxiv.2308.06691
openalex publication_date 2023/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this study, several interesting iterative sequences were investigated. First, we define the iterative sequences. We fix function f(n). An iterative sequence starts with a natural number n, and calculates the sequence f(n),f(f(n)), ...f(f(f(f(n)))),... We then search for interesting features in this sequence. We study Kaprekar's routine, the digit factorial process, and the digit power process. The authors presented new variants of Kaprekar's routine.