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A057265 Even refactorable numbers (i.e. the number of divisors is itself a divisor and it is also even). +0
9
2, 8, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96, 104, 108, 128, 132, 136, 152, 156, 180, 184, 204, 228, 232, 240, 248, 252, 276, 288, 296, 328, 344, 348, 360, 372, 376, 384, 396, 424, 444, 448, 450, 468, 472, 480, 488, 492 (list; graph; listen)
OFFSET

1,1

COMMENT

Invented by the HR mathematical theory formation program.

REFERENCES

S. Colton, Unpublished PhD Thesis, University of Edinburgh, 2000

LINKS

S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.

S. Colton, HR - Automatic Theory Formation in Pure Mathematics

EXAMPLE

18 is refactorable because tau(18) = 6 and 6 divides 18, and 18 is even.

CROSSREFS

Cf. A033950, A036896.

Sequence in context: A005880 A046470 A090772 this_sequence A046525 A099418 A108987

Adjacent sequences: A057262 A057263 A057264 this_sequence A057266 A057267 A057268

KEYWORD

easy,nonn

AUTHOR

Simon Colton (simonco(AT)cs.york.ac.uk), Aug 21 2000

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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