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A097464
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5-infinitary perfect numbers: n such that 5-infinitary-sigma(n)=2*n.
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1
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OFFSET
| 1,1
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COMMENTS
| Here 5-infinitary-sigma(a) means sum of 5-infinitary-divisor 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 5-ary expansion everywhere that the corresponding r_i has a digit b, then d is a 5-infinitary-divisor of n.
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FORMULA
| {n: A097863(n) = 2*n}.
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EXAMPLE
| Factorizations: 2*3, 2^2*7, 2^4*31, 2^5*3^3*5*11, 2^5*3^2*7*11*13, 2^10*3*5*7*19*151
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CROSSREFS
| Cf. A074849.
Sequence in context: A152953 A000396 A066239 * A166998 A038182 A095723
Adjacent sequences: A097461 A097462 A097463 * A097465 A097466 A097467
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KEYWORD
| nonn
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AUTHOR
| Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)
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EXTENSIONS
| Missing a(4) inserted by R. J. Mathar. Is it certain that 308474880 is the 6th term? M. F. Hasler, Nov 20 2010
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