COLLATZ-HASSE-SYRACUSE-ULAM-KAKUTANI SEQUENCE: CONVERGENCE TO THE TRIVIAL CYCLE PROVED

Abstract

The convergence of the Collatz-Hasse-Syracuse-Ulam-Kakutani Sequence is proved, thus proving the Collatz Conjecture, which has been an unsolved problem.  The proof is based on the isomorphism established between the set of positive integers and a carefully designed system with a hierarchy (arborescence) of binary exponential ladders defined on the set of positive odd numbers.