A016037 Map numbers to number of letters in English name; sequence gives number of steps before convergence.

1, 3, 3, 2, 0, 1, 3, 2, 2, 1, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 4, 4, 5, 5, 5, 3, 5, 5