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Numbers in the range of the sum of abundant divisors function.
2

%I #17 Jul 14 2016 00:20:27

%S 12,18,20,24,30,32,36,38,40,42,44,48,50,52,54,56,58,60,62,64,66,68,70,

%T 72,74,76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,

%U 112,114,116,118,120,122,124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158,160,162,164,166,168,170,172,174,176,178,180

%N Numbers in the range of the sum of abundant divisors function.

%C Possible values for the sum of abundant divisors of the positive integers, written in ascending order.

%C Distinct nonzero values found in A187795.

%C The smallest odd integer in this sequence is 945, and the first run of three consecutive integers is 944, 945, 946.

%C This sequence contains every even integer greater than 46 and every odd integer greater than 20161.

%D Sin Hitotumatu, On the Limit for the Representation by the Sum of Two Abundant Numbers, Publications of the Research Institute for Mathematical Sciences of Kyoto University, 8 (1972/1973), 111-116.

%Y Cf. A048242, supersequence of A005101 and A048260, A187795.

%K nonn

%O 1,1

%A _Timothy L. Tiffin_, Jul 12 2016