A087093 Numbers that have the same number of divisors as their digit reversal, but with different prime signatures.

24, 42, 264, 288, 462, 658, 856, 882, 1071, 1128, 1314, 1464, 1701, 2058, 2130, 2132, 2312, 2324, 2424, 2510, 2590, 2616, 2664, 2744, 2765, 2782, 2786, 2872, 2904, 2938, 2975, 3159, 3194, 4010, 4090, 4092, 4094, 4125, 4131, 4136, 4168, 4184, 4220, 4228

Offset: 1

Author

Ray Chandler, Aug 09 2003

Keywords

• nonn
• base

Comments

Terms in A062895 but not in A085869.

Examples

			24 and 42 are members as 24 and 42 each have 8 divisors but with different prime signatures.
		

Links

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

Crossrefs

Cf. A000005, A062895, A085869, A085870.

Programs

Mathematica

psQ[n_]:=Sort[Transpose[FactorInteger[n]][[2]]]!=Sort[Transpose[ FactorInteger[FromDigits[Reverse[IntegerDigits[n]]]]][[2]]];ndQ[n_]:= DivisorSigma[0,n]==DivisorSigma[0,FromDigits[Reverse[ IntegerDigits[ n]]]]; Select[Range[5000],psQ[#]&&ndQ[#]&] (* Harvey P. Dale, Nov 11 2011 *)