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arXiv · 1604.03792

Parasitic Numbers at Arbitrary Base

Anatoly A. Grinberg
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Abstract

A natural number is called an λ-parasitic number if it is multiplied by integer λ as the rightmost digit moves to the front. The Full set of these numbers is known in the decimal system. Here, a formula to analytically generate parasitic numbers in any base was derived and demonstrated for the number systems in base t = 3, 4, 5, 8, 10 and 16. It allows to generate parasitic numbers with given numbers of periods. The formula was derived using the definition of parasitic numbers , not their cyclical property.

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Anatoly A. Grinberg. 2016-04-20. Parasitic Numbers at Arbitrary Base. https://arxiv.org/abs/1604.03792

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