The intricate labyrinth of Collatz sequences

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.

arXiv admin note: text overlap with arXiv:1510.01274

References in corpus (2)

• The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
• A window to the Convergence of a Collatz Sequence

Cited by in corpus (1)

• Two different scenarios when the Collatz Conjecture fails