Our 10 Proofs of Collatz Conjecture or More

The author used steps to show that all number using 3n + 1 conjecture will fall to 4, 2 and eventually 1. And that only one cycle exists. The positive integers may lie to patterns. These could be called traps. A flowchart was used. Each number will have a particular ID dictated by the flowchart. Then an analysis explaining that it ends in 1 and only having one cycle – the 4, 2 and 1 cycle. The number could reach “infinity” but still has a tail.