Submitted:
20 April 2024
Posted:
23 April 2024
Read the latest preprint version here
Abstract
Research Collatz odd sequence, change (×3 + 1) ÷ 2k operation in Collatz Conjecture to (×3 + 2m −1) ÷ 2k operation. Build (×3 + 2m − 1) ÷ 2k oddtree model and transform position model for odds in tree. Via comparing actual and virtual positions, prove if a (×3+2m −1) ÷2k odd sequence can not converge after infinite steps of (×3 + 2m − 1) ÷ 2k operation, the sequence must walk out of boundary of the tree.
