perplexus.info :: Just Math : Eight Embodiment

Eight Embodiment (Posted on 2014-05-25)

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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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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