

A336671


Unitary barely 3abundant: numbers m such that 3 < usigma(m)/m < usigma(k)/k for all numbers k < m, where usigma is the sum of unitary divisors function (A034448).


2



30030, 39270, 43890, 46410, 51870, 62790, 67830, 79170, 82110, 91770, 103530, 161070, 166530, 709170, 718410, 723030, 732270, 764610, 778470, 801570, 806190, 815430, 829290, 833910, 847770, 861630, 875490, 884730, 155934030, 264670770, 1234205070, 1448478570
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OFFSET

1,1


COMMENTS

The corresponding values of usigma(m)/m are 3.222..., 3.168...., 3.149..., 3.127..., 3.109..., ...


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..36


MATHEMATICA

usigma[1] = 1; usigma[n_] := Times @@ (1 + Power @@@ FactorInteger[n]); s = {}; rm = 4; Do[r = usigma[n]/n; If[r > 3 && r < rm, rm = r; AppendTo[s, n]], {n, 1, 10^5}]; s


CROSSREFS

The unitary version of A259312.
Subsequence of A285615.
Cf. A034448, A034683, A302570, A336672.
Sequence in context: A066765 A067885 A285615 * A258361 A072940 A147573
Adjacent sequences: A336668 A336669 A336670 * A336672 A336673 A336674


KEYWORD

nonn


AUTHOR

Amiram Eldar, Jul 29 2020


STATUS

approved



