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A341433
Numbers that are divisible by the product of their digits in primorial base representation.
2
1, 3, 9, 21, 39, 51, 99, 249, 261, 309, 669, 729, 2559, 2571, 2619, 2979, 3051, 4239, 7179, 7191, 32589, 32601, 32649, 32661, 33009, 33021, 37209, 37269, 37629, 51489, 92649, 92709, 93069, 97281, 272889, 274509, 543099, 543111, 543159, 543519, 543591, 544779
OFFSET
1,2
COMMENTS
The primorial base repunits (A143293) are all terms since their product of digits in primorial base is 1.
All the terms are zeroless in primorial base, and therefore they are terms of A328574. In particular, since the last digit of even numbers in primorial base is 0, all the terms are odd numbers.
EXAMPLE
9 is a term since 9 in primorial base is 111 (9 = 3! + 2! + 1!) and 9 is divisible by 1*1*1 = 1.
MATHEMATICA
max = 12; bases = Prime@Range[max, 1, -1]; nmax = Times @@ bases - 1; q[n_] := FreeQ[(d = IntegerDigits[n, MixedRadix[bases]]), 0] && Divisible[n, Times @@ d]; Select[Range[1, 10^5, 2], q]
CROSSREFS
A143293 is a subsequence.
Subsequence of A328574.
Sequence in context: A009864 A128127 A363242 * A014857 A177817 A292392
KEYWORD
nonn,base
AUTHOR
Amiram Eldar, Feb 11 2021
STATUS
approved