A074096 Number of steps to reach an integer starting with s = n/7 and iterating the map x -> s*ceiling(x).

6, 25, 16, 3, 3, 5, 0, 2, 2, 4, 3, 12, 10, 0, 5, 2, 2, 11, 3, 8, 0, 2, 8, 5, 23, 13, 11, 0, 6, 21, 6, 5, 2, 6, 0, 1, 1, 1, 1, 1, 1, 0, 21, 5, 5, 3, 4, 2, 0, 6, 12, 6, 7, 14, 7, 0, 13, 15, 3, 19, 2, 5, 0, 2, 24, 7, 5, 5, 4, 0, 5, 20, 5, 19, 3, 5, 0, 4, 12, 4, 15, 7, 2, 0, 1, 1, 1, 1, 1, 1, 0, 14, 17, 2, 3