A354723 - OEIS

%I #6 Jun 04 2022 13:23:23

%S 25,39,575,2875,93025,243125,568135,52810719,3752907575,15623751875

%N Terms of A354722 whose number of divisors sets a new record.

%C The corresponding numbers of divisors are 3, 4, 6, 8, 9, 10, 12, 16, 18, 20, ...

%C a(11) > 4*10^10, if it exists.

%t bw[n_] := DigitCount[n, 2, 1]; seq = {}; dm = 0; Do[If[CompositeQ[n] && (d = DivisorSigma[0, n]) > dm && UnsameQ @@ (bw /@ Divisors[n]), dm = d; AppendTo[seq, n]], {n, 1, 10^5, 2}]; seq

%Y Cf. A000005, A000120, A354722.

%K nonn,base,more

%O 1,1

%A _Amiram Eldar_, Jun 04 2022