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A335052

Odd unitary abundant numbers whose unitary abundancy is closer to 2 than that of any smaller odd unitary abundant number.

15015, 19635, 21945, 23205, 25935, 31395, 33915, 39585, 41055, 45885, 51765, 80535, 83265, 354585, 359205, 361515, 366135, 382305, 389235, 400785, 403095, 407715, 414645, 416955, 423885, 430815, 437745, 442365, 77967015, 132335385, 617102535, 724239285, 1756753845

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OFFSET

1,1

COMMENTS

The unitary abundancy of a number k is usigma(k)/k, where usigma(k) is the sum of unitary divisors of k (A034448).

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

The unitary abundancies of the first terms are 2.148..., 2.112..., 2.099..., 2.085..., 2.072..., ...

MATHEMATICA

usigma[1] = 1; usigma[n_] := Times @@ (1 + Power @@@ FactorInteger[n]); seq = {}; r = 3; Do[s = usigma[n]/n; If[s > 2 && s < r, AppendTo[seq, n]; r = s], {n, 1, 10^6, 2}]; seq

CROSSREFS

Cf. A034448, A129485, A188263, A302570, A335053, A335055.

Sequence in context: A129485 A360526 A249263 * A294026 A133778 A200090

Adjacent sequences: A335049 A335050 A335051 * A335053 A335054 A335055

KEYWORD

nonn

AUTHOR

Amiram Eldar, May 21 2020

STATUS

approved