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
USA

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.

(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.