Number Theory

    

Behavior of a Decimal-Parity-Based 3n+1 Mapping

Authors: J. Adnan, S. A. Dar

In this paper, we investigate and evaluate the Collatz conjecture, traditionally based on positive integers, under a suitable convergence condition in which the numbers converge towards one. In our derivations, we extend the 3n+1 problem to the decimal values via a scaling factor, for showing behaviour of the last decimal digit, either even or odd. Where the numbers diverges to infinity (∞). From which it follows that between zero and one, the sequence diverges such that its limit approaches infinity.

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[v1] 2026-05-11 20:08:24

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