The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Jun 15 1998
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 07:28 EDT 2024. Contains 372760 sequences. (Running on oeis4.)