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.