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A098835 Smith abundant numbers. 1
378, 438, 576, 588, 636, 648, 654, 666, 690, 728, 762, 852, 1086, 1284, 1376, 1626, 1736, 1776, 1842, 1872, 1908, 1952, 1962, 2286, 2484, 2556, 2576, 2688, 2934, 2944, 2958, 2964, 2970, 3138, 3168, 3174, 3246, 3258, 3294, 3366, 3390, 3564, 3690, 3852 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1) = 378 because 378 is a Smith number as well as an abundant number.

MATHEMATICA

digSum[n_] := Plus @@ IntegerDigits[n]; abSmithQ[n_] := DivisorSigma[1, n] > 2*n && Plus @@ (Last@# * digSum[First@#] & /@ FactorInteger[n]) == digSum[n]; Select[Range[4000], abSmithQ] (* Amiram Eldar, Aug 23 2020 *)

CROSSREFS

Intersection of A005101 and A006753.

Sequence in context: A198407 A003918 A045197 * A134602 A268373 A030029

Adjacent sequences:  A098832 A098833 A098834 * A098836 A098837 A098838

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta, Oct 10 2004

STATUS

approved

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Last modified October 25 13:00 EDT 2020. Contains 338012 sequences. (Running on oeis4.)