A385255 Numbers m whose deficiency is 24: sigma(m) - 2*m = -24.

124, 9664, 151115727458150838697984

Offset

1,1

Comments

Contains numbers 2^(k-1)*(2^k + 23) for k in A057203. First three terms have this form.

a(4) <= 93441703048466747860169256295101116710912. - Alexander Violette, Feb 27 2026

Links

Table of n, a(n) for n=1..3.

Max A. Alekseyev, Computing bounded solutions to linear Diophantine equations with the sum of divisors, arXiv:2601.17832 [math.NT], 2026. See p. 9, Table 1.

Crossrefs

Deficiency k: A191363 (k=2), A125246 (k=4), A141548 (k=6), A125247 (k=8), A101223 (k=10), A141549 (k=12), A141550 (k=14), A125248 (k=16), A223608 (k=18), A223607 (k=20), A223606 (k=22), A275702 (k=26).

Abundance k: A088831 (k=2), A088832 (k=4), A087167 (k=6), A088833 (k=8), A223609 (k=10), A141545 (k=12), A141546 (k=14), A141547 (k=16), A223610 (k=18), A223611 (k=20), A223612 (k=22), A223613 (k=24), A275701 (k=26).

Cf. A057203.

Sequence in context: A293084 A289299 A035816 * A206077 A097842 A206189

Adjacent sequences: A385252 A385253 A385254 * A385256 A385257 A385258

Keyword

bref,nonn,hard,more

Author

Max Alekseyev, Jul 29 2025

Status

approved