A392382 - OEIS

A392382

Numbers m with deficiency 28: sigma(m) - 2*m = -28.

29, 62, 182, 230, 344, 944, 6710, 20264, 36224, 538112, 2085710, 14503550, 33665024, 55328384, 134438912, 615206030, 1082574464, 2148368384, 1100954390528, 3226703679488, 22624165941248, 75592362807296, 460456433433230, 604462909822157994328064, 2417851639258945163362304

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OFFSET

1,1

COMMENTS

Contains numbers 2^(k-1)*(2^k + 27) for k in A157007. In particular, a(26) <= 2^43 * (2^44 + 27).

Some other large terms: 31461682224447395899419782222446592 = 2^34 * 34381917673 * 53263780924181 and 50046765559904017801991439191461855232 = 2^40 * 2501282069197 * 18197575026881.

40011460766794289835046530062568472938333795839020877893675155557487331892141229002497351894637530052927946752 = 2^94*39614081257132168796772005941*50993547600138759698412574733412592765120531753428233 is a term. - Alexander Violette, Jan 15 2026

LINKS

Table of n, a(n) for n=1..25.

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), A385255 (k=24), A275702 (k=26), A392382 (k=28), A387352 (k=32), A175730 (k=42), A101259 (k=54), A275997 (k=64), A389702 (k=90).

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), A392383 (k=28), A175989 (k=32), A275996 (k=64), A389703 (k=90), A292626 (k=128).

Sequence in context: A092222 A338529 A039516 * A134547 A259636 A240169

Adjacent sequences: A392379 A392380 A392381 * A392383 A392384 A392385

KEYWORD

nonn

AUTHOR

Max Alekseyev, Jan 09 2026

EXTENSIONS

a(24)-a(25) from Max Alekseyev, Feb 27 2026

STATUS

approved