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A046366 Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity). 2
4, 16, 27, 308, 440, 528, 594, 5445, 5808, 6534, 8085, 9702, 11550, 13860, 14784, 16500, 16632, 18711, 19800, 21120, 22275, 23760, 25344, 26730, 28512, 32076, 37268, 53240, 63888, 94864, 135520, 152460, 162624, 181500, 182952, 193600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The subsequence of numbers k of A046355 such that A262049(k) divides k. - R. J. Mathar, Sep 09 2015

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..1387 (terms < 10^10)

EXAMPLE

E.g. 1041714 = 2 * 3^3 * 101 * 191 -> Sum of factors is 303 -> 1041714 / 303 = 3438 exactly.

MAPLE

isA046366 := proc(n)

    local sofpp ;

    if isA046355(n) then

        sofpp := A262049(n) ;

        if modp(n, sofpp) = 0 then

            true;

        else

            false;

        end if;

    else

        false;

    end if;

end proc:

for n from 2 to 1000 do

    if isA046366(n) then

        printf("%d, ", n) ;

    end if;

end do: # R. J. Mathar, Sep 09 2015

MATHEMATICA

palQ[n_]:=Reverse[x=IntegerDigits[n]]==x; Select[Range[4, 10^5], !PrimeQ[#]&&And@@palQ/@Join[{y=Total[Times@@@(x=FactorInteger[#])]}, First/@x]&&IntegerQ[#/y]&](* Jayanta Basu, Jun 05 2013 *)

CROSSREFS

Cf. A046367.

Sequence in context: A257309 A271936 A046358 * A227609 A219338 A275211

Adjacent sequences:  A046363 A046364 A046365 * A046367 A046368 A046369

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Jun 15 1998.

STATUS

approved

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Last modified November 16 04:54 EST 2018. Contains 317257 sequences. (Running on oeis4.)