A370970 - OEIS

A370970

Numbers k which have a factorization k = f1*f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once.

8596, 8790, 9360, 9380, 9870, 10752, 12780, 14760, 14820, 15628, 15678, 16038, 16704, 17082, 17820, 17920, 18720, 19084, 19240, 20457, 20574, 20754, 21658, 24056, 24507, 25803, 26180, 26910, 27504, 28156, 28651, 30296, 30576, 30752, 31920, 32760, 32890, 34902, 36508, 47320, 58401, 65128, 65821

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OFFSET

1,1

COMMENTS

The total number of digits in k, f1, ..., fr is ten, and they are all distinct.

LINKS

Table of n, a(n) for n=1..43.

Hans Havermann, Pandigital Products, Apr 13 2024

EXAMPLE

The complete list of terms:

8596 = 2*14*307

8790 = 2*3*1465

9360 = 2*4*15*78

9380 = 2*5*14*67

9870 = 2*3*1645

10752 = 3*4*896

12780 = 4*5*639

14760 = 5*9*328

14820 = 5*39*76

15628 = 4*3907

15678 = 39*402

16038 = 27*594 = 54*297

16704 = 9*32*58

17082 = 3*5694

17820 = 36*495 = 45*396

17920 = 8*35*64

18720 = 4*5*936

19084 = 52*367

19240 = 8*37*65

20457 = 3*6819

20574 = 6*9*381

20754 = 3*6918

21658 = 7*3094

24056 = 8*31*97

24507 = 3*8169

25803 = 9*47*61

26180 = 4*7*935

26910 = 78*345

27504 = 3*9168

28156 = 4*7039

28651 = 7*4093

30296 = 7*8*541

30576 = 8*42*91

30752 = 4*8*961

31920 = 5*76*84

32760 = 8*45*91

32890 = 46*715

34902 = 6*5817

36508 = 4*9127

47320 = 8*65*91

58401 = 63*927

65128 = 7*9304

65821 = 7*9403

CROSSREFS

Cf. A370972, A372106.

Sequence in context: A324711 A221053 A370972 * A116326 A031809 A252471

Adjacent sequences: A370967 A370968 A370969 * A370971 A370972 A370973

KEYWORD

nonn,base,fini,full

AUTHOR

N. J. A. Sloane, Apr 13 2024, following emails from Ed Pegg Jr and Hans Havermann. The terms were computed by Hans Havermann.

STATUS

approved