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Search: id:A061072
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| A061072 |
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Smallest integer with A002191(n) divisors, i.e. the number of divisors equals the sum of the divisors of a different number. |
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+0
1
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| 1, 4, 6, 12, 64, 24, 60, 4096, 192, 144, 180, 240, 360, 960, 720, 1073741824, 840, 1260, 786432, 36864, 1680, 2880, 15360, 2520, 6300, 6720, 2359296, 5040, 3221225472, 14400, 983040, 10080, 206158430208, 184320, 15120, 20160, 25200
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OFFSET
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0,2
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FORMULA
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A000005[a(n)]=A002191(n). i.e. if function A000005 is applied to this sequence, then values of A002191 are obtained. These terms are taken from A005179.
a(n) = A005179(A002191(n)). - David Wasserman (wasserma(AT)spawar.navy.mil), Jun 06 2002
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EXAMPLE
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For all values of sigma(x), i.e. of A002191, the smallest number with identical number of divisors is found at A005179[sigma(x)]. E.g. 8=A002191(6) is a possible divisor-sum. The smallest number which has 8 divisors is 24=A005179(8). See also comment to A008864, with special solutions of equation: sigma[x]=tau[y]=A000203(x)=A000005(y).
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CROSSREFS
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A000005, A000203, A002191, A005179, A008864.
Sequence in context: A050537 A068507 A133454 this_sequence A130435 A028444 A003973
Adjacent sequences: A061069 A061070 A061071 this_sequence A061073 A061074 A061075
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 28 2001
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 06 2002
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