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A058080
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Numbers whose product of divisors exceeds their square.
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9
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12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110, 112, 114, 116, 117, 120, 124, 126, 128, 130, 132, 135, 136, 138, 140, 144, 147
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OFFSET
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1,1
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COMMENTS
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Called multiplicatively abundant numbers by Chau (2004). - Amiram Eldar, Jun 29 2022
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LINKS
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FORMULA
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The number of terms not exceeding x is N(x) ~ x*(1 - log(log(x))/log(x)) (Chau, 2004). - Amiram Eldar, Jun 29 2022
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MATHEMATICA
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Select[Range[150], #^(DivisorSigma[0, #]/2) > #^2 &] (* Amiram Eldar, Jun 29 2022 *)
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PROG
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(Python)
from sympy import divisor_count
def ok(n): return divisor_count(n) > 4
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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