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Search: id:A038182
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| A038182 |
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3-infinitary perfect numbers: 3-i-sigma(a)=2*a. Here 3-i-sigma(a) means sum of 3-i-divisors of a. If n=Product p(i)^r(i) and d=Product p(i)^s(i), each s(i) has a digit a<=b in its ternary expansion everywhere that the corresponding r(i) has a digit b, then d is a 3-i-divisor of n. |
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+0 2
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| 6, 28, 3024, 6552, 27578880, 49266240, 49095705098695680
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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J. O. M. Pedersen, Tables of Aliquot Cycles
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EXAMPLE
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Factorizations: 2*3, 2^2*7, 2^4*3^3*7, 2^3*3^2*7*13, 2^9*3^4*5*7*19, 2^6*3*5*19*37*73, 2^10*3^6*5*19^2*127*379*757.
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CROSSREFS
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Cf. A037445, A038148.
Adjacent sequences: A038179 A038180 A038181 this_sequence A038183 A038184 A038185
Sequence in context: A000396 A066239 A097464 this_sequence A095723 A057246 A074849
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KEYWORD
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nonn,nice
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AUTHOR
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Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)
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