Ireneusz Sobstyl

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The paper is devoted to discussion of the minimal cycles of the so called Kaprekar's transformations and some of its generalizations. The considered transformations are the self-maps of the sets of natural numbers possessing n digits in their decimal expansions. In the paper there are introduced several new characteristics of such maps, among others, the(More)
This paper is a continuation of our previous paper [Part I, ibidem]. In this study we present many new results in the subject of minimal cycles (including the fixed points) of the so called Kaprekar’s transformations. We formulate also some conjectures. Moreover, we discuss here all minimal cycles of the first 18 Kaprekar’s transformations (and present but(More)
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