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A306667
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Numbers m such that lcm(tau(m), m) = sigma(m) where sigma(k) = the sum of the divisors of k (A000203) and tau(k) = the number of the divisors of k (A000005).
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2
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1, 6, 32760, 51001180160, 54530444405217553992377326508106948362108928, 133821156044600922812153118065015159487725568, 42274041475824304453686528060845522019324411248640, 48949643430560436794021629524876790263031553747866371344635527168
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OFFSET
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1,2
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COMMENTS
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Subsequence of multiply-perfect numbers (A007691).
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LINKS
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EXAMPLE
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6 is a term because lcm(tau(6), 6) = lcm(4, 6) = 12 = sigma(6).
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PROG
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(Magma) [n: n in [1..100000] | LCM(NumberOfDivisors(n), n) eq SumOfDivisors(n)]
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CROSSREFS
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Cf. A069810 (gcd(k, sigma(k)) = tau(k)).
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KEYWORD
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nonn,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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