Determine the respective minimum values of a positive integer N for each p = 1 to 9 inclusively, such that:
- N is composite, and:
- All positive divisors of N (including itself but, with the exclusion of 1) contain the digit p.
p = 10: 101 * 101 = 10201
p = 11: 211 * 811 = 171121 (might not be a minimum)
p = 12: 127 * 127 = 16129