International Journal of Mathematics and Mathematical Sciences (Jan 2005)

Searching for Kaprekar's constants: algorithms and results

  • Byron L. Walden

DOI
https://doi.org/10.1155/IJMMS.2005.2999
Journal volume & issue
Vol. 2005, no. 18
pp. 2999 – 3004

Abstract

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We examine some new results on Kaprekar's constants, specifically establishing the unique 7-digit (in base 4) and 9-digit (in base 5) Kaprekar's constants and showing that there are no 15-, 21-, 27-, or 33-digit Kaprekar's constants.