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A004607 Infinitary sociable numbers (smallest member of cycle). +0
3
1026, 10098, 10260, 12420, 41800, 45696, 100980, 241824, 448800, 512946, 685440, 830568, 4938136, 6732000, 9424800, 12647808, 13959680, 14958944, 17878998, 25581600, 28158165, 32440716, 36072320, 55204500, 74062944 (list; graph; listen)
OFFSET

1,1

COMMENT

If n = product p_i^a_i, d = product p_i^c_i is an infinitary divisor of n if each c_i has a zero bit in its binary representation everywhere that the corresponding a_i does.

REFERENCES

G. L. Cohen, On an integer's infinitary divisors, Math. Comp. 54 (1990), 395-411.

LINKS

J. O. M. Pedersen, Tables of Aliquot Cycles

CROSSREFS

Cf. A003416.

Sequence in context: A023002 A103716 A031530 this_sequence A066133 A119455 A045031

Adjacent sequences: A004604 A004605 A004606 this_sequence A004608 A004609 A004610

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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