A270660 Numbers in the range of the sum of abundant divisors function.

12, 18, 20, 24, 30, 32, 36, 38, 40, 42, 44, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 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

Offset: 1

Author

Timothy L. Tiffin, Jul 12 2016

Keywords

• nonn

Comments

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

Distinct nonzero values found in A187795.

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

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

References

• 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.

Crossrefs

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