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The Kaprekar transformation is uniquely determined by parameters based ondifferences between symmetric values in the ordered numeric sequence. Theparametric analysis of the iteration of the process requires developing Kifunctions that provide the parameters of the transformed number. This is theobjective of this work. As application examples we use these functions todeduce constants and cycles. But its main utility is to study the algebraicarchitecture of the transformation trees that we develop in the second part ofthis work.

Parametric transformation functions in the Kaprekar routine I