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A074493
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Numbers n such that all the divisors of n appear as substrings in n^3.
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0
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1, 5, 25, 49, 125, 251, 499, 751, 1249, 4999, 18229, 31249, 49999, 281249, 4218751, 4999999, 9590417, 31622777, 68171507, 74218751, 574218751, 5740883989, 8829261293
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OFFSET
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1,2
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LINKS
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EXAMPLE
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The divisors of 125 are 1, 5, 25, 125, which appear as substrings in 1953125, so 125 is a term of the sequence.
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MATHEMATICA
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a = {}; Do[d = Divisors[i]; l = Length[d]; r = True; s = ToString[i^3]; For[j = 1, j <= l, j++, If[StringPosition[s, ToString[d[[j]]]] == {}, r = False; Break] ]; If[r == True, a = Append[a, i]], {i, 1, 10^5}]; a
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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