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A103288 Numbers k such that sigma(k) >= 2k-1 (union of perfect, abundant and least deficient numbers). 9

%I #12 Nov 30 2022 11:33:53

%S 1,2,4,6,8,12,16,18,20,24,28,30,32,36,40,42,48,54,56,60,64,66,70,72,

%T 78,80,84,88,90,96,100,102,104,108,112,114,120,126,128,132,138,140,

%U 144,150,156,160,162,168,174,176,180,186,192,196,198,200,204,208,210,216,220

%N Numbers k such that sigma(k) >= 2k-1 (union of perfect, abundant and least deficient numbers).

%C If the only least deficient numbers are the powers of 2 (open problem) then this sequence is the union of A023196 and A000079.

%C Like the abundant numbers, this sequence has density between 0.2474 and 0.2480, see A005101. - _Charles R Greathouse IV_, Nov 30 2022

%H T. D. Noe, <a href="/A103288/b103288.txt">Table of n, a(n) for n = 1..1000</a>

%F Numbers k such that A004125(k) <= A004125(k-1).

%o (PARI) for(n=1,1000,if(sigma(n)>=2*n-1,print(n)));

%Y Cf. A023196, A023197, A023198, A023199, A000079, A004125.

%K nonn

%O 1,2

%A _Max Alekseyev_, Jan 28 2005

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Last modified April 25 10:43 EDT 2024. Contains 371967 sequences. (Running on oeis4.)