The Kaprekar Routine is a famous mathematical procedure involving the digits of a positive integer. This paper offers natural generalizations of the routine, states and proves related results, and presents many open problems that are suitable for mathematical research at the undergraduate level. In the process, we shed light on some interesting facts about digit games.
© Virginia Mathematics and Science Coalition, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/)
Peterson, K. and Pulapaka, H.
"The Kaprekar Routine and Other Digit Games for Undergraduate Exploration,"
Journal of Mathematics and Science: Collaborative Explorations: Vol. 10
, Article 13.
Available at: https://scholarscompass.vcu.edu/jmsce_vamsc/vol10/iss1/13