Geodesic
Kaprekar triples
Journal of integer sequences, Tome 8 (2005) no. 4
We say that 45 is a Kaprekar triple because $45^{3} =91125$ 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.
Classification : 11A63, 11Y55
Keywords: kaprekar triples, division algorithm, chinese remainder theorem, components, perfect numbers 
@article{JIS_2005__8_4_a4,
     author = {Iannucci,  Douglas E. and Foster,  Bertrum},
     title = {Kaprekar triples},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {4},
     zbl = {1108.11025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_4_a4/}
}
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Iannucci,  Douglas E.; Foster,  Bertrum. Kaprekar triples. Journal of integer sequences, Tome 8 (2005) no. 4. http://geodesic.mathdoc.fr/item/JIS_2005__8_4_a4/