A138263 Smallest positive integer m such that n divides [10^m/m] (=A060156(m)).

1, 1, 3, 4, 1, 11, 13, 5, 3, 1, 13, 52, 19, 13, 11, 5, 24, 11, 37, 4, 13, 13, 45, 84, 2, 19, 13, 34, 94, 11, 12, 5, 13, 24, 13, 92, 3, 37, 19, 5, 11, 13, 96, 238, 11, 45, 51, 84, 43, 2, 33, 272, 76, 13, 13, 34, 37, 95, 36, 164, 181, 24, 13, 10, 19, 13, 39, 46, 67, 13, 82, 92, 17