A062672 Composite and every divisor (except 1) contains the digit 5.

25, 125, 265, 295, 625, 755, 785, 1255, 1285, 1325, 1475, 1765, 1795, 2285, 2515, 2545, 2605, 2615, 2705, 2735, 2785, 2815, 2845, 2855, 2885, 2935, 2965, 2995, 3125, 3265, 3295, 3755, 3775, 3785, 3925, 4265, 4285, 4295, 4765, 5255, 5755, 5765, 6275

Offset: 1

Author

Erich Friedman, Jul 04 2001

Keywords

• base
• easy
• nonn

Examples

			25 has divisors 1, 5 and 25, all of which contain the digit 5.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A062653, A062664, A062667, A062668, A062669, A062670, A062671, A062673, A062674, A062675, A062676, A062677, A062678, A062679, A062680.

Programs

Mathematica

fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 6300], !PrimeQ[#] && fQ[#, 5] &] (* Robert G. Wilson v, Jun 11 2014 *)
Select[Range[6300],CompositeQ[#]&&AllTrue[Rest[Divisors[#]],DigitCount[ #,10,5]> 0&]&] (* Harvey P. Dale, Jan 22 2023 *)

Extensions

Offset corrected by Amiram Eldar, Nov 07 2019