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A187584
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Least number divisible by at least n of its digits, different and > 1.
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1
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OFFSET
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1,1
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COMMENTS
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a(1)=2=A185186(1), a(2)=24=A187516(1),
a(3)=248=A187398(1), a(4)=2364=A187238(1),
a(5)=27384=A187533(1), a(6)=243768=A187534(1),
a(7)=23469768=A187551(1), a(8)=1234759680=A187565(1).
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LINKS
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Table of n, a(n) for n=1..8.
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MATHEMATICA
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divQ[m_, n_] := Length[(u = Union[Select[IntegerDigits[m], # > 1 &]])] >= n && Plus @@ (Boole@Divisible[m, u]) >= n; a[n_] := Module[{k = 1}, While[! divQ[k, n], k++]; k]; Array[a, 8] (* Amiram Eldar, Aug 30 2020 *)
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PROG
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(Python)
def c(n): return len(set(d for d in str(n) if d>'1' and n%int(d)==0))
def a(n):
m = 2*10**(n-1)
while c(m) < n: m += 1
return m
print([a(n) for n in range(1, 7)]) # Michael S. Branicky, Feb 24 2021
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CROSSREFS
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Cf. A185186, A187238, A187398, A187516, A187533, A187534, A187551, A187565.
Sequence in context: A099669 A019520 A300400 * A173228 A061190 A300399
Adjacent sequences: A187581 A187582 A187583 * A187585 A187586 A187587
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Zak Seidov, Mar 11 2011
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EXTENSIONS
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a(8) corrected by David A. Corneth, Aug 30 2020
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STATUS
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approved
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