A243537 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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

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.

Sequence in context: A152126 A315853 A065858 * A073582 A363837 A048886

Adjacent sequences: A243534 A243535 A243536 * A243538 A243539 A243540

KEYWORD

nonn,base

AUTHOR

Jaroslav Krizek, Jun 13 2014

STATUS

approved