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A243537
Numbers n such that list of divisors of n contains 4 distinct digits (in base 10).
11
6, 8, 10, 14, 21, 26, 35, 49, 50, 51, 62, 65, 66, 82, 85, 88, 91, 110, 115, 117, 123, 133, 141, 142, 159, 165, 169, 183, 209, 213, 217, 221, 226, 231, 239, 244, 250, 253, 257, 262, 263, 269, 275, 283, 293, 295, 299, 307, 309, 319, 326, 333, 347, 349, 355, 359
OFFSET
1,1
COMMENTS
Numbers n such that A037278(n), A176558(n) and A243360(n) contain 4 distinct digits.
LINKS
David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale)
EXAMPLE
49 is in sequence because divisors of 49: (1, 7, 49) contain 4 distinct digits (1, 4, 7, 9).
MATHEMATICA
Select[Range[400], Length[Union[Flatten[IntegerDigits/@Divisors[#]]]] == 4&] (* Harvey P. Dale, Aug 22 2021 *)
PROG
(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]
CROSSREFS
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.
Cf. A243543.
Sequence in context: A152126 A315853 A065858 * A073582 A363837 A048886
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Jun 13 2014
STATUS
approved