Wednesday, January 22, 2014



Graphical representation of Collatz conjecture depicting all numbers with an orbit length of 20 or less
Collatz Conjecture: Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called “Half Or Triple Plus One”, or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you shall always eventually reach 1.

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