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#11 by Harvey P. Dale at Thu Feb 29 15:15:47 EST 2024
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#10 by Harvey P. Dale at Thu Feb 29 15:15:43 EST 2024
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| MATHEMATICA
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HarmonicResidue[n_]=Mod[n*DivisorSigma[0, n], DivisorSigma[1, n]]; HarmonicResidue[ Range[ 80]]
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| EXTENSIONS
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Mathematica program completed by Harvey P. Dale, Feb 29 2024
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| STATUS
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approved
editing
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#9 by R. J. Mathar at Wed Jan 25 05:49:01 EST 2017
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#8 by R. J. Mathar at Wed Jan 25 05:48:46 EST 2017
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#7 by Reinhard Zumkeller at Sun Apr 06 15:37:14 EDT 2014
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#6 by Reinhard Zumkeller at Sun Apr 06 14:46:55 EDT 2014
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#5 by Reinhard Zumkeller at Sun Apr 06 14:45:13 EDT 2014
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| LINKS
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Reinhard Zumkeller, <a href="/A106315/b106315.txt">Table of n, a(n) for n = 1..10000</a>
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| STATUS
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approved
editing
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#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
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| COMMENTS
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The harmonic residue is the remainder when n*d(n) is divided by sigma(n), where d(n) is the number of divisors of n, and sigma(n) is the sum of the divisors of n. If n is perfect, the harmonic residue of n is 0.
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| KEYWORD
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nonn,new
nonn
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#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
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#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
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| MATHEMATICA
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HarmonicResidue[n_]=Mod[n*DivisorSigma[0, , n], ], DivisorSigma[1, , n]]
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| KEYWORD
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nonn,new
nonn
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