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A182693
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a(n) = the smallest 3-digit number with exactly n divisors, a(n) = 0 if no such number exists.
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1
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0, 101, 121, 106, 625, 116, 729, 102, 100, 112, 0, 108, 0, 192, 144, 120, 0, 180, 0, 240, 576, 0, 0, 360, 0, 0, 900, 960, 0, 720, 0, 840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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OFFSET
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1,2
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COMMENTS
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max {n : a(n) > 0} = 32, a(n) = 0 for n > 32.
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LINKS
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FORMULA
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a(n) = min {99 < k < 1000 : A000005(k)=n} if set is nonempty, else a(n) = 0.
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MAPLE
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with (numtheory):
b:= n-> `if` (type (n, integer), n, 0):
a:= n-> b (min (select (x-> tau(x)=n, [$100..999])[])):
seq (a(n), n=1..60);
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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