A185960 Positive numbers equal to the sum of the cubes of their first k divisors for some k.

1, 36, 126144, 236736, 934902, 3447632, 11877300, 67885860, 163704304, 1317560094, 1483434161, 5178258504, 8025266717, 12097787616, 16631037162, 25248156920, 110341933344, 145437730020, 718690577744

Offset: 1

Author

N. J. A. Sloane, Feb 07 2011

Keywords

• nonn
• more

Comments

2665757000703, 18382539143800, 21465141915672, 34176701510281, 44733530333520 and 82841336110520 are also terms. - Donovan Johnson, Jan 21 2014

References

• Arie Groeneveld, Posting to Sequence Fans Mailing List, Feb 06, 2011

Crossrefs

Cf. A185584, A185961.

Programs

PARI

for(n=1, 67885860, nd=numdiv(n); if(nd<>2, d=divisors(n); s=0; for(j=1, nd, s=s+d[j]^3; if(s>=n, if(s==n, print1(n ", ")); next(2))))) \\ Donovan Johnson, Jan 21 2014

Extensions

a(7)-a(13) from Donovan Johnson, Feb 07 2011

a(14)-a(17) from Donovan Johnson, Feb 08 2011

a(18)-a(19) from Donovan Johnson, Jan 21 2014