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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 2999-3004
doi:10.1155/IJMMS.2005.2999

Searching for Kaprekar's constants: algorithms and results

Byron L. Walden

Department of Mathematics and Computer Science, Santa Clara University, Santa Clara 95053-0290, CA, USA

Abstract

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.