A243541 Numbers n such that the list of divisors of n contains 8 distinct digits (in base 10).

72, 76, 102, 104, 120, 126, 140, 144, 160, 168, 170, 182, 208, 210, 224, 232, 234, 236, 240, 258, 266, 276, 282, 288, 294, 296, 300, 308, 318, 320, 336, 352, 370, 372, 376, 416, 424, 430, 435, 436, 438, 448, 460, 464, 470, 476, 483, 494, 518, 520, 528, 536

Offset

1,1

Comments

Numbers n such that A037278(n), A176558(n) and A243360(n) contain 8 distinct digits.

Links

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

Example

72 is in sequence because the list of divisors of 72: (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72) contains 8 distinct digits (1, 2, 3, 4, 6, 7, 8, 9).

Mathematica

Select[Range[600], Length[Union[Flatten[IntegerDigits/@Divisors[#]]]]==8&] (* Harvey P. Dale, Jul 14 2016 *)

Prog

(Excel) [Row n = 1 …10000; Column A: A(n) = A095048(n); Column B: B(n) = IF(A(n)=8; A(n)); Arrangement of column B]

Crossrefs

Cf. A095048, A037278, A176558, A243360.

Sequences of numbers n such that the 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 (the smallest number m whose list of divisors contains n distinct digits).

Sequence in context: A003898 A133899 A181466 * A138691 A039670 A065147

Adjacent sequences: A243538 A243539 A243540 * A243542 A243543 A243544

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 19 2014

Status

approved