The intricate labyrinth of Collatz sequences

Maya Mohsin Ahmed

Published 2016-02-04Version 1

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 sequencesmof all odd numbers.