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 A337738 Terms of A171641 with a record number of divisors. 1
 738, 3492, 14184, 58896, 236448, 954432, 2549700 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Non-deficient numbers (A023196) with an even sum of divisors (A000203) which cannot be partitioned into two disjoint sets with equal sum, and having a record number of divisors. The corresponding numbers of divisors are 12, 18, 24, 30, 36, 42, 54, ... LINKS EXAMPLE The number of divisors of each of the first 33 terms of A171641 is 12. A171641(34) = 3492 has 18 divisors, and it is the first term with more than 12 divisors. Therefore, a(2) = 3492. MATHEMATICA nonZumQ[n_] := Module[{d = Divisors[n], sum, x}, sum = Plus @@ d; sum >= 2*n && EvenQ[sum] && CoefficientList[Product[1 + x^i, {i, d}], x][[1 + sum/2]] == 0]; dm = 0; s = {}; Do[d = DivisorSigma[0, n]; If[d > dm, q = nonZumQ[n]; If[q && d > dm, dm = d; AppendTo[s, n]]], {n, 1, 60000}]; s CROSSREFS Cf. A000005, A000203, A023196, A083207, A171641, A335008. Sequence in context: A251814 A320714 A251647 * A204289 A204285 A224564 Adjacent sequences:  A337735 A337736 A337737 * A337739 A337740 A337741 KEYWORD nonn,more AUTHOR Amiram Eldar, Sep 17 2020 STATUS approved

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Last modified October 3 22:17 EDT 2022. Contains 357237 sequences. (Running on oeis4.)