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Numbers n such that list of divisors of n contains 4 distinct digits (in base 10).
11

%I #21 Nov 16 2022 13:31:41

%S 6,8,10,14,21,26,35,49,50,51,62,65,66,82,85,88,91,110,115,117,123,133,

%T 141,142,159,165,169,183,209,213,217,221,226,231,239,244,250,253,257,

%U 262,263,269,275,283,293,295,299,307,309,319,326,333,347,349,355,359

%N Numbers n such that list of divisors of n contains 4 distinct digits (in base 10).

%C Numbers n such that A037278(n), A176558(n) and A243360(n) contain 4 distinct digits.

%H David A. Corneth, <a href="/A243537/b243537.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Harvey P. Dale)

%e 49 is in sequence because divisors of 49: (1, 7, 49) contain 4 distinct digits (1, 4, 7, 9).

%t Select[Range[400],Length[Union[Flatten[IntegerDigits/@Divisors[#]]]] == 4&] (* _Harvey P. Dale_, Aug 22 2021 *)

%o (Excel) [Row n = 1 …10000; Column A: A(n) = A095048(n); Column B: B(n) = IF(A(n)=4;A(n)); Arrangement of column B]

%Y Cf. A095048, A037278, A176558, A243360.

%Y Sequences of numbers n such that list of divisors of n contains k distinct digits for 1 <= k <= 10: k = 1: A243534; k = 2: A243535; k = 3: A243536; k = 4: A243537; k = 5: A243538; k = 6: A243539; k = 7: A243540; k = 8: A243541; k = 9: A243542; k = 10: A095050.

%Y Cf. A243543.

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Jun 13 2014