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The intricate labyrinth of Collatz sequences

2016/02/04 by Maya Mohsin Ahmed, Ahmed, Maya Mohsin
Computer Science · Mathematics · #Benford’s Law and Fraud Detection #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #Imbalanced Data Classification Techniques

paper · pdf · doi:10.48550/arxiv.1602.01617

openalex publication_date 2016/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a previous article, we reduced the unsolved problem of the convergence of Collatz sequences, to convergence of Collatz sequences of odd numbers, that are divisible by 3. In this article, we further reduce this set to odd numbers that are congruent to 21 mod 24. We also show that either the Collatz sequence of a given odd number or an equivalent Collatz sequence reverses to a multiple of 3. Moreover, we construct a network composed of Collatz sequences of all odd numbers.

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