A066424 The n-digit number whose divisors have the maximal sum (A066410).

8, 96, 960, 9240, 98280, 997920, 9979200, 99459360, 994593600, 9777287520, 97772875200, 995886571680, 9958865716800, 99588657168000, 998456601542400, 9948906851083200, 98930408269492800, 994651672331116800, 9946516723311168000, 99796717790555385600

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Example

960 is the 3-digit number the sum of whose divisors (3048) is largest.

Mathematica

a[n_] := Module[{mx=1}, For[k=10^(n-1), k<=10^n-1, k++, If[(t=DivisorSigma[1, k]) > mx, mx=t; kx=k]]; kx]; Array[a, 6] (* Stefano Spezia, Nov 07 2024 *)

Crossrefs

Cf. A066410.

Sequence in context: A116144 A074114 A069650 * A276593 A099675 A211345

Adjacent sequences: A066421 A066422 A066423 * A066425 A066426 A066427

Keyword

nonn,base

Author

Harvey P. Dale, Dec 26 2001

Extensions

Corrected and extended by Vladeta Jovovic, Dec 29 2001

Offset corrected by Stefano Spezia, Nov 07 2024

Status

approved