Too Long; Didn't Read
The Collatz Conjecture has two simple rules to be followed indefinitely: Take a number and check if it’s even or odd 2. If it's even divide it with two else multiply it with 3 and add 1 to the result. When performed with any number indefinitely, at some point the result is reduced to 1. This is contradictory given we are just halving the number when it is even whereas adding 1 after tripling it if it's found to be odd. The number should increase but instead, no matter how big or small a number is it gets reduced.