In the collatz conjecture, given a number N, you get the next number in the sequence by following one of two rules: if its even, you divide by two. If its odd, multiply by 3 and add 1.
You can follow this rule down to 1, and every number you choose for N seems to end its chain in 1, but we don't know why.
My question is, is there a name for any single chain of numbers all the way up to one?
I'm inclined to call it a "collatz branch", following the idea that all the collatz branches together form a collatz tree. But that's just a name I made up.