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A proposed disproof of non trivial.collatz cycles

16 January 2026, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We propose a strategy to disprove non trivial coll at cycle by affine.self similarities in the inverse collatz trees nested in themselves The periodicities of +16 +18 and +34 are compatible with the trivial.cycle.but not with a non trivial.cycle.

Keywords

Number theory
Collatz
Dynamic systems

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Version History

Jan 16, 2026 Version 1

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License

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Public Domain
The content is available under CC 0 1.0 [opens in a new tab]

DOI

10.33774/coe-2026-8kcg7
D O I: 10.33774/coe-2026-8kcg7 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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