Generalization and Alternatives of Kaprekar's Routine

Details Generalization and Alternatives of Kaprekar's Routine Generalization and Alternatives of Kaprekar's Routine

2010-05-05

arxiv.org/abs/1005.3235v1

Partially published in author's book Proposed Problems of Mathematics, Vol. II, State University of Moldova Press, Kishinev, p

Mathematics

General Mathematics

5 pages

Scientific paper

We extend Kaprekar's Routine for a large class of applications. We also give
particular examples of this generalization as alternatives to Kaprekar's
Routine and Number. Some open questions about the length of the iterations
until reaching either zero or a constant or a cycle, and about the length of
the cycles are asked at the end.

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