Pig
Created page with "== Proof of Predictability == To prove the **predictability** of the Collatz conjecture, we demonstrate that for any starting number ''n'', we can predict when the sequence will produce a number smaller than ''n''. This involves analyzing the transformations \( n \to \frac{n}{2} \) (for even numbers) and \( n \to \frac{3n + 1}{2} \) (for odd numbers). === Step 1: Transformation Behavior === ==== Case 1: ''n'' is even ==== When ''n'' is even: <math>n \to \frac{n}{2}</m..."
