A014839 Sum of all the digits of n in every prime-power base from 2 to n-1.

2, 3, 7, 9, 13, 13, 16, 19, 26, 28, 36, 39, 42, 34, 45, 44, 55, 59, 63, 64, 76, 75, 80, 82, 82, 87, 102, 112, 128, 113, 120, 121, 129, 130, 148, 149, 154, 156, 175, 187, 207, 214, 219, 217, 238, 227, 237, 228, 233, 239, 262, 246, 256, 261, 265, 260, 284, 299

Offset: 3

Author

Olivier Gérard

Keywords

• nonn
• base

Crossrefs

Cf. A014836, A014837, A014838, A014840, A014841, A014842, A014843.

Programs

Mathematica

Table[Sum[If[PrimePowerQ[i], Mod[Total[IntegerDigits[n, i]], n], 0], {i, 2, n-1}], {n, 3, 60}] (* Stefano Spezia, Sep 06 2022 *)