Another Mathemagical Black Hole

Read about another mathemagical black hole.. Really interesting one. 

Take any natural number, treat it as a string. For example: 24,89,62,698.

1. Count the number of even digits. In this case 7 even digits.
2. Count the number of odd digits. In this case 2
3. Count the total number of digits. In this case 9

So the new number now is 729. Repeat the above process. Even digits (1), odd digits (2), total digits (3). So the new number is 123. And now any more iterations will return 123 only. So in this case 123 is the mathemagical black hole.

 All numbers in this universe are drawn to the number 123 by this process. Never to escape. Try it out.