

A004607


Infinitary sociable numbers (smallest member of cycle).


2



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;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

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.


LINKS

Table of n, a(n) for n=1..25.
Graeme L. Cohen, On an integer's infinitary divisors, Math. Comp. 54 (189) (1990) 395411.
J. O. M. Pedersen, Tables of Aliquot Cycles [Broken link]
J. O. M. Pedersen, Tables of Aliquot Cycles [Via Internet Archive WaybackMachine]
J. O. M. Pedersen, Tables of Aliquot Cycles [Cached copy, pdf file only]


CROSSREFS

Cf. A003416.
Sequence in context: A103716 A291508 A031530 * A221008 A282254 A229332
Adjacent sequences: A004604 A004605 A004606 * A004608 A004609 A004610


KEYWORD

nonn,nice


AUTHOR

N. J. A. Sloane.


STATUS

approved



