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What is the importance of the Collatz conjecture? [closed] What delights me most about the Collatz conjecture is your observation about what the iteration does to the factorizations combined with an observation on the sizes of the numbers Multiplication by 3 and adding 1 more than triples the number, while dividing by 2 only halves it If you ended up doing a large number of iterations to compute the sequence, and each was equally likely, then you
Collatz conjecture but with $\ 3n-1\ $ instead of $\ 3n+1. \ $ Do any . . . Because 3n+1 is the same as the absolute value of 3n-1 for negative numbers So the question remains unanswered If you found "lots" of answers that would be interesting, since I am only aware of 5 total sequences being found in the collatz conjecture, namely 1, 0, -1, -5, -17
Prove that $ (3n)! (3!)^n$ is an integer [duplicate] Prove that $\frac { (3n)!} { (3!)^n}$ is an integer where $n$ is a non-negative integer I can prove it with mathematical induction Is there any other method?