Convergence of the Collatz Sequence
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 17, Issue 0
Abstract
For any natural number was created the supplement sequence, that is convergent together with the original Collatz sequence. The numerical parameter - index was defined, that is the same for both sequences. This new method provides the following results: All natural numbers were distributed into six different classes; The properties of index were found for the different classes; For any natural number was constructed the bounded sequence of increasing numbers, that is convergent together with the regular Collatz sequence.
Authors and Affiliations
Anatoliy Nikolaychuk
Keywords
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- EP ID EP651796
- DOI 10.24297/jam.v17i0.8336
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