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A166735
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Superabundant numbers (A004394) that are not highly composite (A002182).
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7
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1163962800, 4658179125600, 13974537376800, 144403552893600, 433210658680800, 10685862914126400, 21371725828252800, 32057588742379200, 37400520199442400, 64115177484758400, 1533421328177138400
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OFFSET
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1,1
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COMMENTS
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Alaoglu and Erdos mention the first term in footnote 14.
Because the "shapes" of superabundant and highly composite numbers are different, there is a last superabundant number that is also highly composite. In factored form, that 154-digit number is N = A004394(1023) = A002182(2567) = 2^10 3^6 5^4 7^3 11^3 13^2 17^2 19^2 23^2 29 31 37...347. In other words, this sequence contains all superabundant numbers greater than N. - _T. D. Noe_, Oct 26 2009
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LINKS
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S. Ramanujan, Highly composite numbers, Annotated and with a foreword by J.-L. Nicolas and G. Robin, Ramanujan J., 1 (1997), 119-153.
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FORMULA
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a(574+i) = A004394(1023+i) for i>0.
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CROSSREFS
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Cf. A166981 (intersection of SA and HC numbers). - _T. D. Noe_, Oct 26 2009
Cf. A189228 (SA numbers that are not CA).
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KEYWORD
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nonn
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AUTHOR
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_T. D. Noe_, Oct 20 2009
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STATUS
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approved
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