
COMMENTS

If m is in this sequence and 5 doesn't divide m then m is an odd Weird number. There are no other terms up to 2*10^9. Jud McCranie wrote: There are no terms between 2*10^9 and 6.5*10^9.
a(4) > 10^12.  Donovan Johnson, Dec 08 2011
a(4) > 10^13.  Giovanni Resta, Mar 29 2013


REFERENCES

S. Benkoski, "Are All Weird Numbers Even?" Amer. Math. Monthly 79, 774, 1972.
R. K. Guy, "Almost Perfect, QuasiPerfect, Pseudoperfect, Harmonic, Weird, Multiperfect and Hyperperfect Numbers." B2 in Unsolved Problems in Number Theory, 2nd ed.New York:Springer Verlag, pp. 4553, 1994.
C. Rivera, Puzzle 233, www.primepuzzles.net


MATHEMATICA

Do[If[OddQ[n] && DivisorSigma[1, n]  2n == 6, Print[n]], {n, 2*10^9}]
