A243538 Numbers n such that the list of divisors of n contains 5 distinct digits (in base 10).
12, 16, 20, 27, 28, 34, 38, 45, 46, 57, 58, 69, 74, 75, 94, 100, 118, 124, 129, 132, 145, 153, 154, 161, 164, 166, 171, 175, 177, 178, 185, 194, 195, 205, 206, 214, 215, 218, 219, 220, 237, 254, 265, 273, 274, 279, 284, 287, 289, 291, 297, 298, 301, 302, 305
Offset: 1
Examples
45 is in sequence because the list of divisors of 45: (1, 3, 5, 9, 15, 45) contains 5 distinct digits (1, 3, 4, 5, 9).
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000
Crossrefs
Sequences of numbers n such that the list of divisors of n contains k distinct digits for 1 <= k <= 10: k = 1: A243534; k = 2: A243535; k = 3: A243536; k = 4: A243537; k = 5: A243538; k = 6: A243539; k = 7: A243540; k = 8: A243541; k = 9: A243542; k = 10: A095050.
Cf. A243543 (the smallest number m whose list of divisors contains n distinct digits).
Programs
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Excel
[Row n = 1...10000; Column A: A(n) = A095048(n); Column B: B(n) = IF(A(n)=5;A(n)); Arrangement of column B]
Comments