Ogin Sugianto

The Collatzogin Tree: A Complete Inductive Framework for the Collatz Conjecture

We present a structural framework for the Collatz conjecture called the Collatzogin Tree---a directed graph constructed from the forward Collatz function. The tree partitions positive integers by their residue modulo $2^{k-1}$, guaranteeing coverage of all integers by constructio...

The Collatzogin Tree: A Complete Inductive Framework for the Collatz Conjecture

We present a structural framework for the Collatz conjecture called the Collatzogin Tree---a directed graph constructed from the forward Collatz function. The tree partitions positive integers by their residue modulo $2^{k-1}$, guaranteeing coverage of all integers by constructio...