[QUOTE=10metreh;243653]That was one last Christmas present, unless I can pack another one in within the next few days...[/QUOTE]

Maybe there is more to come... I just got this at 107 digits on 256280:
[code] 1974 . 21037754940498427942624392918233973204101228471848447599267870059567388917844607700697318980688774527804432 = 2^4 * 1314859683781151746414024557389623325256326779490527974954241878722961807365287981293582436293048407987777
1975 . 19722895256717276196210368360844349878844901692357919624313628180844427110479319719403736544395726119816686 = 2 * 11 * 4019 * 3961206664829299 * 199431987471169684771433 * 204082536944734887611679627413 * 1383572172483155992748816490567137[/code]
:bounce:

In fact, I had been very unlucky not to pick up the downdriver on this one earlier:

[code] 1834 . 236749877352116266581615569218820196281636248197640489319765027979236215761685398562619064151498994704736 = 2^5 * 7398433667253633330675486538088131133801132756176265291242657124351131742552668705081845754734343584523
1835 . 229351443684862633250940082680732065147835115441464224028522370854885084019132729857537218396764651120276 = 2^2 * 67579 * 1676255178977 * 309278345917625228473205729681 * 1636590700948205644295803698222197232816751226377457485903

1890 . 617208189697624143996644852182707471794080071554702009405342463597590167422133156121668720794918176236 = 2^2 * 154302047424406035999161213045676867948520017888675502351335615899397541855533289030417180198729544059
1891 . 462906142273218107997483639137030603845560053666026507054006847698192625566599867091251540596188632184 = 2^3 * 1792209907 * 14101785431417 * 44494809392531 * 51455361038818319824216255199363663491213606561716466338500317007

1902 . 561216692824348356741767996200035202078501541348394171017801044071353690784410484493155700952701702016 = 2^7 * 4384505412690221537045062470312775016238293291784329461076570656807450709253206910102778913692982047
1903 . 556832187411658135204722933729722427062263248056609841556724473414546240075157277583052922039008720224 = 2^5 * 19 * 61 * 103813 * 119557 * 5357063 * 22652111354168407 * 24640669829085271002201225687269 * 404553735525231672373809698265857

1910 . 362809776219272383878828747538312681275150386603942194234381296365587331849598700486617961389924480632 = 2^3 * 45351222027409047984853593442289085159393798325492774279297662045698416481199837560827245173740560079
1911 . 317458554191863335893975154096023596115756588278449419955083634319888915368398862925790716216183920568 = 2^3 * 13 * 23 * 1051 * 106129 * 2745151 * 3665027869 * 12046570526913583154273581 * 9817075326002381365851139440267190949676029429209

1921 . 255649714706267744816749613344962858160123109643050279046329072273435705209920754264936891606906557688 = 2^3 * 31956214338283468102093701668120357270015388705381284880791134034179463151240094283117111450863319711
1922 . 223693500367984276714655911676842500890107720937668994165537938239256242058680659981819780156043237992 = 2^3 * 3607 * 44843 * 202564138140673 * 1071674872317289711 * 796337135262217404642405850741265377628585714657782154133983[/code]

[QUOTE=10metreh;243983]Maybe there is more to come... I just got this at 107 digits on 256280:[/quote]

This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:

[QUOTE=10metreh;244353]This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:[/QUOTE]

:toot: Got another downdriver at 110 digits:

[code] 3062 . 24343710338940454926732350823004206783225758581284166566515031831496805159563200174116718084797552160269764936 = 2^3 * 3042963792367556865841543852875525847903219822660520820814378978937100644945400021764589760599694020033720617
3063 . 21300746546572898060890806970128680935322538758623645745700652852559704514617800152352128324197858140236044334 = 2 * 13 * 1889 * 2029 * 23197 * 1989878069 * 64708767625376401 * 83742166674627969251833 * 854558624879729035491261233046578458967604460231[/code]

68067066 has attained i6200... 137 digits

it has just lost his 2^2*7 driver, now 2^3 * 3^2 * 7 guide.

[code]
6195 . = 2^2 * 3^2 * 7 * 12573751 * 544907876773095658387 * 885141253881017344229 * 2228038960957552271885347802333 * 421308239620485747958715449489081960842749793945155519
6196 . = 2^2 * 3^2 * 7^2 * 2936325627365956118917554554021 * 158770982582556061783080249935947 * 3295006945449978675775456685877297275977656277372650002186699154305381
6197 . = 2^2 * 3^2 * 7^2 * 2974735969298214127726449690817 * 1002055038160966376779624033745568249233505249403916766100404024961839710329687271129739791254612857617
6198 . = 2^3 * 3^2 * 7 * 29 * 313 * 719 * 23696221 * 130016921 * 119195267323514764289 * 443454672864315510886447 * 19048374519633607991576200083598395231543575998042671683025486775007
6199 . = 2^3 * 3^2 * 7 * 281656549 * 4963531551883669276287146027 * 902573162007273970114475798915729503 * 35565096014609149730649444037132300275860811703380113259647633
6200 . = 2^3 * 3^2 * 7 * 251 * 64553 * 5803102935571001671242737850729760479728198441129309109807411609770796394451811649777234797088036348077877520326346039973894941
[/code]
is it considered as an escape?

[QUOTE=firejuggler;244724]is it considered as an escape?[/QUOTE]

Yes, but it does have the 2^3 * 3 driver (which is the easiest to escape from).

i have the feeling that it will get back to 2^2*7

[url]http://factordb.com/aliquot.php?type=1&aq=509466&big=1[/url] (graph)
[url]http://factordb.com/sequences.php?se=1&aq=509466[/url] (most recent)
[url]http://factordb.com/sequences.php?se=1&eff=2&aq=509466&action=range&fr=1440&to=3000[/url] (from where I reserved to current)
I picked up 509466 at i1442 with 104 digits and the downdriver. It has had [I]very[/I] frequent driver changes, bottoming out at 35 digits at i1834. It included at least 6 acquisitions of the downdriver, (including the one just before I reserved it) resulting in 3 large (over 10 digit) drops. It's had a large variety of drivers/guides/driverless-factors, just about every kind except perfect numbers. It even had 2^3 * 3 * 5 for a short time, but luckily it lost that! It is currently driverless with 2^4 * 3 * 5 at size 103. I'll keep it until it gets too large for me or gets a driver. Hopefully there will be one last downdriver run resulting in a termination. :smile:

20076 acquired the downdriver at 130 digits!

[CODE] 2274 . 3004277989726803684959937786302832201019542702598114261494383410787641325406163261722334344652769106061676582488828835340285307968 = 2^6 * 3^2 * 5215760398831256397499891990109083682325594969788392815094415643728543967719033440490163792799946364690410733487550061354661993
2275 . 5606942428743600627312383889367264958500014592522522276226496817008184765297960948526926077259942342042191538499116315956261644126 = 2 * 11 * 8839 * 346337 * 29185865134570681217 * 5011464867331077541536581 * 569199002061716306071450282792104857681414072819855524439105594980001889103
[/CODE]It's kept it for 21 terms so far, and has decreased to 127 digits.

Roller coaster ride (but no end in sight...)
 

712956 had quite a roller coaster ride....unfortunately 2^5 * 3 * 7 has taken over.

[QUOTE=Mini-Geek;244932][url]http://factordb.com/aliquot.php?type=1&aq=509466&big=1[/url] (graph)
[url]http://factordb.com/sequences.php?se=1&aq=509466[/url] (most recent)
[url]http://factordb.com/sequences.php?se=1&eff=2&aq=509466&action=range&fr=1440&to=3000[/url] (from where I reserved to current)
... It included at least [B]6 acquisitions of the downdriver[/B], (including the one just before I reserved it) resulting in 3 large (over 10 digit) drops.[/QUOTE]

Make that 7. At i2836, just after peaking at size 108, it acquired the downdriver again. Currently at 100 digits and dropping. This sequence is quite the roller coaster!

[URL="http://www.factordb.com/aliquot.php?type=1&aq=807180&big=1"]807180[/URL] lost the downdriver runs after reaching 48 digits and bouncing around some. I'll take it back over 100 digits (since it was from that subproject) before releasing it.