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arXiv · 2111.00932

Algebraic Kaprekar routine architecture II

Fernando Nuez
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Abstract

In general terms, we establish algebraic relations that numbers must satisfy in order for their images to match after one or several transformations. Some groups associated with these relationships are identified, such as the Klein group. Such equivalences are applied to numbers of 2, 3, 4 or 5 digits. The relationship between cycles and the transformation trees structure are analyzed.

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Fernando Nuez. 2021-10-29. Algebraic Kaprekar routine architecture II. https://arxiv.org/abs/2111.00932

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