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 A034288 Product of proper divisors is larger than for any smaller number. 7
 1, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 48, 60, 72, 84, 90, 96, 108, 120, 168, 180, 240, 336, 360, 420, 480, 504, 540, 600, 630, 660, 672, 720, 840, 1080, 1260, 1440, 1680, 2160, 2520, 3360, 3780, 3960, 4200, 4320, 4620, 4680, 5040, 7560, 9240, 10080 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Amiram Eldar, Table of n, a(n) for n = 1..228 (terms below 10^10, terms 1..100 from T. D. Noe) MAPLE with(numtheory); A034288:=proc(q) local a, b, c, d, k, n; k:=0; for n from 1 to q do   a:=divisors(n); b:=nops(a); a:=op(a); d:=1;   for c from 1 to b-1 do d:=d*a[c]; od;   if d>k then print(n); k:=d; fi; od; end: A034288(10000); # Paolo P. Lava, Oct 18 2012 MATHEMATICA maxTerm = 10^6; record = 0; Reap[For[n = 1, n <= maxTerm, n++, p = Times @@ Most[Divisors[n]]; If[p > record, record = p; Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Aug 01 2013 *) CROSSREFS Cf. A034287, A034090, A034091, A067128, A140999. Indices of records of A007956. Sequence in context: A194594 A163248 A341280 * A131984 A307542 A225510 Adjacent sequences:  A034285 A034286 A034287 * A034289 A034290 A034291 KEYWORD easy,nonn,nice AUTHOR STATUS approved

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Last modified June 26 13:24 EDT 2022. Contains 354883 sequences. (Running on oeis4.)