Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.8

Kaprekar Triples

Douglas E. Iannucci and Bertrum Foster
University of the Virgin Islands
2 John Brewers Bay
St. Thomas, VI 00802

Abstract: We say that 45 is a Kaprekar triple because 453 =91125 and 9+11+25=45. We find a necessary condition for the existence of Kaprekar triples which makes it quite easy to search for them. We also investigate some Kaprekar triples of special forms.

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(Concerned with sequences A006886 and A006887 .)

Received August 30 2004; revised version received October 7 2005. Published in Journal of Integer Sequences October 20 2005.

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