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A071064 Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits. 0

%I #7 Jul 05 2019 12:26:56

%S 1,2,145,2125,2310,3210,10125,10234,10310,11125,11310,12312,13010,

%T 13110,13211,13212,21312,23111,23112,30010,30110,31010,31110,31212,

%U 32112,40585,52130,111312,113112,131112,133240,135250,153250,200213

%N Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits.

%e a(8)=10234: 1!+0!+2!+3!+4! = 34 and 10234/34 = 301.

%t dsfQ[n_]:=Module[{f=Total[IntegerDigits[n]!]},Divisible[n,f]&&Mod[ n,10^IntegerLength[f]]==f]; Select[Range[201000],dsfQ] (* _Harvey P. Dale_, Jul 05 2019 *)

%Y Cf. A061602.

%K base,nonn

%O 1,2

%A _Jason Earls_, May 26 2002

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Last modified June 17 00:51 EDT 2024. Contains 373432 sequences. (Running on oeis4.)