# Algebraic Kaprekar routine architecture II

@inproceedings{Nuez2021AlgebraicKR, title={Algebraic Kaprekar routine architecture II}, author={Fernando Nuez}, year={2021} }

Kaprekar’s routine consists in sorting the digits of a number n in descending order, resulting X. Then, Y is obtained by sorting the digits in ascending order, and these numbers are subtracted n’ = X-Y. When iterating the process with n’ and beyond, Kaprekar (1949) showed that if n has four non-identical digits such iteration leads to 6174. Additionally, if the number n has three digits the routine leads to 495. These numbers are known as Kaprekar constants. In the first part of this paper…

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Parametric transformation functions in the Kaprekar routine I

- Mathematics, Computer Science
- 2021

This work develops Ki functions that provide the parameters of the transformed number Ki (α) = α’ that are used to study the algebraic architecture of the transformation trees that are developed in the second part of this work.

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Parametric transformation functions in the Kaprekar routine I

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This work develops Ki functions that provide the parameters of the transformed number Ki (α) = α’ that are used to study the algebraic architecture of the transformation trees that are developed in the second part of this work.

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