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 A344731 Numbers k such that k divides A306069(k). 2
 1, 275, 277, 3337, 3353, 3359, 39675, 39689, 472467, 797806459, 9501109507 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The corresponding quotients A306069(k)/k are 1, 5, 5, 7, 7, 7, 9, 9, 11, 17, 19, ... a(12) > 7.5*10^10, if it exists. LINKS EXAMPLE a(1) = 1 since A306069(1) = 1 is divisible by 1. a(2) = 275 since A306069(275) = 1375 = 5 * 275 is divisible by 275. MATHEMATICA f[p_, e_] := If[Mod[e, 2] == 1, (e + 1), e]; s = 1; s[n_] := s[n] = s[n - 1] + Times @@ f @@@ FactorInteger[n]; Select[Range, Divisible[s[#], #] &] CROSSREFS Cf. A286324, A306069. The bi-unitary version of A050226. Similar sequences: A064610, A344732, A344733. Sequence in context: A171346 A001242 A214111 * A023681 A070272 A066127 Adjacent sequences:  A344728 A344729 A344730 * A344732 A344733 A344734 KEYWORD nonn,more AUTHOR Amiram Eldar, May 27 2021 STATUS approved

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Last modified June 27 10:04 EDT 2022. Contains 354896 sequences. (Running on oeis4.)