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Composite numbers which are a multiple of the concatenation of their prime factors A084317.
2

%I #8 May 29 2017 08:47:39

%S 4,8,9,16,25,27,32,49,50,64,81,100,121,125,128,169,200,243,250,256,

%T 289,343,361,400,500,512,529,625,729,800,841,961,1000,1024,1250,1331,

%U 1369,1600,1681,1849,2000,2048,2187,2197,2209,2401,2500,2809,3125,3200,3481,3721,4000,4096,4489,4913,5000,5041,5329,6241,6250,6400

%N Composite numbers which are a multiple of the concatenation of their prime factors A084317.

%C Prime numbers are excluded since they trivially satisfy the condition.

%C Multiplicity of the prime factors is ignored.

%C Among the first 10000 terms, the 182 which are not prime powers are of the form 2^h * 5^k. - _Giovanni Resta_, May 29 2017

%H Giovanni Resta, <a href="/A249125/b249125.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[6400], CompositeQ[#] && Mod[#, FromDigits@ Flatten[ IntegerDigits /@ First /@ FactorInteger@#]] == 0 &] (* _Giovanni Resta_, May 29 2017 *)

%o (PARI) for(n=2,9999,isprime(n)||n%A084317(n)||print1(n","))

%Y Cf. A084317, A069872, A224930, A240265.

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Oct 21 2014