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Annals of Computer Science and Information Systems, Volume 6

Position Papers of the 2015 Federated Conference on Computer Science and Information Systems

Kaprekar's transformations. Part II—numerical results and intriguing corollaries

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DOI: http://dx.doi.org/10.15439201515

Citation: Position Papers of the 2015 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 6, pages 97104 ()

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Abstract. 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 only of the first 15) with emphasis of the new, introduced by us, characteristics of this cycles.