Applications for Collatz's Conjecture?

[Thomas Klemm]

Charles Krauthammer Wrote:Erdös, an agnostic, likes to speak of God’s having a Book that contains the most elegant, most perfect mathematical proofs. Erdös’ highest compliment, reports Paul Hoffman in the Atlantic, is that a proof is “straight from the Book.” Says Erdös: “You don’t have to believe in God, but you should believe in the Book.”

Martin Aigner
Günter M. Ziegler
Proofs from THE BOOK

Cheers
Thomas