It’s interesting. And you only have to divide even numbers.
First multiply any number by 3, then add 1. For instance, 3x5 is 15. Add 1, and it’s 16. Any time you get an even answer, keep dividing by 2. Every time the answer is odd (3x2+1=7), then multiply by 3 and add 1 again. Keep doing it. The numbers often get enormous. But eventually, all numbers, as far as they can tell, end up at 1. 4,2,1 at the end. But there’s no proof for it.
So take 3, for example. 3x3 plus 1 is 10. 10 can be divided by 2, so you get 5. But that has to be multiplied by 3, and then 1 added: 3x5 plus 1 is 16. And that gets you to 16 > 8> 4> 2> 1.
You need a hobby.
(or a cat)