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A091193 Smallest number having n abundant divisors. 4

%I #10 Jun 24 2019 04:01:14

%S 1,12,24,36,60,72,168,120,180,288,240,432,504,360,864,1296,960,840,

%T 720,1080,3456,1800,2016,1440,1680,3024,2160,3780,2880,2520,5280,3360,

%U 6048,4320,6480,22440,11340,7200,6720,7920,5040,10800,7560,12960,18900,13440

%N Smallest number having n abundant divisors.

%C A080224(a(n))=n and A080224(m)<>n for m<a(n).

%H Amiram Eldar, <a href="/A091193/b091193.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AbundantNumber.html">Abundant Number</a>.

%t numd[n_] := Length@Select[Divisors[n], DivisorSigma[1, #] > 2 # &]; m = 100; s =

%t Table[0, {m}]; n = 1; c = 0; While[c < m, k = numd[n]; If[k > 0 && k <= m && s[[k]] == 0, s[[k]] = n; c++]; n++]; s (* _Amiram Eldar_, Jun 24 2019 *)

%Y Cf. A080224.

%K nonn

%O 0,2

%A _Reinhard Zumkeller_, Dec 27 2003

%E More terms from _Reinhard Zumkeller_, Dec 12 2009

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)