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Eight Embodiment (Posted on 2014-05-25) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

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Solution My full list + bonus (spoiler) | Comment 3 of 6 |
p = 1   121 = 11 * 11
p = 2   254 = 2 * 127
p = 3   39   = 3 * 13
p = 4   1849 = 43 * 43
p = 5   25 = 5 * 5
p = 6   16043 = 61 * 263
p = 7   497 = 7*71
p = 8   6889 = 83 * 83
p = 9   1691 = 19 * 89

Bonus
p = 0  10201 = 101 * 101

  Posted by Steve Herman on 2014-05-25 13:29:43
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