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A096536 Numbers n such that n, n+1, n+2 are all abundant. 1
171078830, 268005374, 321893648, 336038624, 487389824, 600350750, 663249950, 668645054, 938109248, 1053424448, 1079741024, 1102433408, 1139364224, 1148927624, 1267293950, 1275861950, 1310259950, 1344330350, 1352253824 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The entries shown are all even, the first odd n would have to have sigma(n*(n+2)) > 4n*(n+2) so n > 10^19 (cf. A119240).

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..1000

Carlos Rivera, Puzzle 878. Consecutive abundant integers

Carlos Rivera, Puzzle 880. Consecutive odd abundant integers

EXAMPLE

For 171078830= 2*5*13*23*29*1973, sigma(n)/n=2.09355, for 171078831= 3^3*7*11*19*61*71, sigma(n)/n=2.00396 and for 171078832=2^4*31*344917, sigma(n)/n=2.00000579

CROSSREFS

Subsequence of A096399.

Cf. A119240.

Sequence in context: A250934 A233606 A258956 * A104331 A233598 A187316

Adjacent sequences:  A096533 A096534 A096535 * A096537 A096538 A096539

KEYWORD

nonn

AUTHOR

John L. Drost, Aug 13 2004

EXTENSIONS

a(15)-a(19) from Donovan Johnson, Dec 29 2008

STATUS

approved

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Last modified July 24 16:39 EDT 2017. Contains 289775 sequences.