An unsolved math magic

It is a magic of math which seems to be easy to solve, but, mind me this is unsolved yet

In this game, We have to choose one number from 1 to 9. There are two rules-

1.If the number is even, we should divide it by 2
2.If the number is odd, we should multiply it by 3 and add 1.

Let’s choose a number, 7 It’s odd. Let’s keep applying these rules-

7(3)+1=22
22/2=11
11(3)+1=34
34/2=17
17(3)+1=52
52/2=26
26/2=13
13(3)+1=40
40/2=20
20/2=10
10/2=5
5(3)+1=16
16/2=8
8/2=4
4/2=2
2/2=1
1(3)+1=4
4/2=2
2/2=1

The round of 4,2,1 will repeat infinitely.Not only in the case of 7, If we take any number and keep applying these 2 rules, it will stop in this turn.

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good old Collatz Conjecture