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Numbers that are divisible by the sum of the factorials of their digits.
3

%I #13 Sep 08 2022 08:45:13

%S 1,2,10,12,21,32,104,111,112,120,145,200,220,222,224,341,403,441,1000,

%T 1020,1100,1120,1122,1200,1204,1210,1212,1230,1232,1320,1330,2000,

%U 2010,2030,2100,2110,2112,2123,2125,2130,2204,2212,2232,2250,2300,2310,2321

%N Numbers that are divisible by the sum of the factorials of their digits.

%H Amiram Eldar, <a href="/A093325/b093325.txt">Table of n, a(n) for n = 1..10000</a>

%e 104 is a term because 1!+0!+4!=26 and 104/26=4.

%t seqQ[n_] := Divisible[n, Total@(Factorial /@ IntegerDigits[n])]; Select[Range[2500], seqQ] (* _Amiram Eldar_, Dec 16 2019 *)

%o (Magma) f:=func< n|&+[Factorial(Intseq(n)[i]):i in [1..#Intseq(n)]]>; [k:k in [1..2500]| k mod f(k) eq 0]; // _Marius A. Burtea_, Dec 16 2019

%Y Cf. A005349, A061602.

%K base,easy,nonn

%O 1,2

%A _Jason Earls_, May 11 2004