The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. 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 indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The problem of proving this conjecture to be true has fascinated mathematicians and non-mathematicians alike. The fascination of the 3x + 1 problem involves its simple definition and the apparent complexity of its behavior under iteration. Despite its simple appearance, this problem is unsolved.

Why am I posting this? Because I came across this in a magazine and was actually able to follow along without too much brain strain on some base examples of how this works - which is impressive for me as I am terrible!! with math,

Try it: 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.

10 - (10/2 = 5), (5 *3=15)+1=16), (16/2=8). (8/2=4), (4/2=2), (2/2=1)

or

144 - (144/2=72), (72/2 =36), (36/2=18), (18/2=9), (9*3=27)+1=28), (28/2=14), (14/2=7), (7*3=21)+1=22), (22/2=12), (12/2=6), (6/2=3), (3*3=9)+1=10), 10 - (10/2 = 5), (5 *3=15)+1=16), (16/2=8). (8/2=4), (4/2=2), (2/2=1)

So, learn something new and maybe neat - or are you going back to sleep now? ;-)