A101697 Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n.

1, 67585, 84466, 854696

Offset: 1

Author

Farideh Firoozbakht, Dec 12 2004

Keywords

• base
• fini
• full
• nonn

Examples

			854696 is in the sequence because phi(854696)=8!+5!+4!+6!+9!+6!.
		

Links

• Shyam Sunder Gupta, Fascinating Factorials, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 16, 411-442.

Crossrefs

Cf. A100416.

Programs

Mathematica

Do[h = IntegerDigits[n]; l = Length[h]; If[EulerPhi[n] == Sum[h[[k]]!, {k, l}], Print[n]], {n, 10000000}]