Black Hole Bonus Challenge

A black hole in physics implies no escape. See what happens with this problem.

Start with any number, (use at least 4 digits)

Count the number of even digits,
the number of odd digits,
the total number of digits

Write down these answers as one number and repeat

Count the number of even digits,
the number of odd digits,
the total number of digits


Repeat again

Repeat again

What happened?