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A classification of Kaprekar constant

Published online by Cambridge University Press:  23 January 2015

Stan Dolan
Stan Dolan*
Affiliation:
126A Harpenden Road, St. Albans AL3 6BZ
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Extract

The number 6174 has the well-known property that it equals the difference between the numbers formed by rearranging its digits in descending and ascending orders :

Numbers with this property are called Kaprekar constants after the Indian mathematician D. R. Kaprekar [1]. Similarly, the general process of finding the difference between numbers formed by rearranging digits in descending and ascending orders is called the Kaprekar process.

Type
Articles
Information
The Mathematical Gazette , Volume 95 , Issue 534 , November 2011 , pp. 437 - 443
Copyright
Copyright © The Mathematical Association 2011

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References

1. Kaprekar, D. R., An interesting property of the number 6174, Scripta Mathematica, 15 (1955) pp. 244–245.Google Scholar
2. Problem 93J, Math. Gaz., 93 (November 2009) p. 542.Google Scholar
3. Website: http://kaprekar.sourceforge.net/ Google Scholar