A243537 Numbers n such that list of divisors of n contains 4 distinct digits (in base 10).

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

Author

Jaroslav Krizek, Jun 13 2014

Keywords

• nonn
• base

Comments

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

Examples

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

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale)

Crossrefs

Cf. A095048, A037278, A176558, A243360.

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.

Programs

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]

Mathematica

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