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A095849
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Numbers n where sigma_k(n) increases to a record for all real values of k.
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3
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1, 2, 4, 6, 12, 24, 48, 60, 120, 240, 360, 840, 1680, 2520, 5040, 10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 720720, 1441440, 2162160, 3603600, 7207200, 10810800, 36756720, 61261200, 122522400, 183783600, 698377680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| For any value of k, sigma_k(n) > sigma_k(m) for all m < n, where the function sigma_k(n) is the sum of the k-th powers of all divisors of n.
Conjecture: a number is in this sequence if and only if it is in both A002182 and A095848. - J. Lowell (jhbubby(AT)mindspring.com), Jun 21 2008
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..74 (complete)
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CROSSREFS
| Cf. A002093 (highly abundant numbers), A002182 (highly composite numbers) and A004394 (superabundant numbers), consisting of numbers that establish records for sigma_k(n) where k equals 1, 0 and -1 respectively. Also see A095848.
Cf. A094783.
Sequence in context: A019505 A135614 A115387 * A094783 A058764 A087009
Adjacent sequences: A095846 A095847 A095848 * A095850 A095851 A095852
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KEYWORD
| nonn
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AUTHOR
| Matthew Vandermast (ghodges14(AT)comcast.net), Jun 09 2004
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EXTENSIONS
| Extended by T. D. Noe (noe(AT)sspectra.com), Apr 22 2010
Corrected typo in comment T. D. Noe (noe(AT)sspectra.com), Oct 04 2010
Corrected by T. D. Noe and Matthew Vandermast (noe(AT)sspectra.com), Oct 04 2010
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