Sequence terminations and merges

[RobertS]

219282 terminates with 601

[bchaffin]

Originally Posted by RobertS

219282 terminates with 601

I think that was me, unless you were also working that one in parallel (I didn't have it reserved).

[bchaffin]

Originally Posted by bchaffin

I think that was me, unless you were also working that one in parallel (I didn't have it reserved).

Edit (just missed the edit window): hmm, there are some mysterious gaps in my worker's logs, so maybe we were both adding factors at the same time... I picked up the downdriver at 219282.1969, but it dropped ~10 digits with 2^2 some time before that. Anyway, another one down!

[bchaffin]

715590.2849 merges with 4116.3!

That's the first time I've ever actually watched a sequence end/merge. Cool.

[wolfcrey]

Originally Posted by bchaffin

715590.2849 merges with 4116.3!

That's the first time I've ever actually watched a sequence end/merge. Cool.

Just back from hollyday I found this message - congratulations
Wolfgang

[RobertS]

275892 terminates with 59

[schickel]

Just reported to me by Clifford: 649248 terminates in 281.

[Raman]

Originally Posted by schickel

Just reported to me by Clifford: 649248 terminates in 281.

Within another few weeks, sequence 1134 is going to be terminated
that being followed up by using that sequence 4788 as well?
These are in run of downdrivers right at this moment, then.

Thus, sequences 1920, 1992 right now currently are not at possession of
drivers or guides at all, they are being stable at their present heights
respectively. By the way, they are classic sequences,
being that way up...

Longest length sequences are that 389508, 8760, 1578, 195528
that are being running up right now... only actually indeed really

[fivemack]

Raman: The problem with downdrivers is that you can escape them by means other than running down and hitting a prime; for example on 80244 (which I've been running for the better part of a year), one of the downdrivers ends with

1662  331450237931703434054834110<27> = 2 · 5 · 317 · 325292423 · 321429050558521<15>
1663	 267042244009442369003631362<27> = 2 · 133521122004721184501815681<27>
1664  133521122004721184501815684<27> = 2^2 · 7 · 13 · 313 · 125423 · 9343876023058469<16>

So the fact that a sequence has the downdriver at the moment doesn't mean you can expect it to finish any time soon.

[Raman]

I know that. It was just a joke.
If in any case that simply the number is
Twice prime of form 1 (mod 4), only this case
then downdriver comes to end. But still
there is chance for sequence to terminate
until some driver carries that sequence through
long way.

Anyway, if however if there is some sort of luck atleast,
then that sequences 1134, 4788 (314718) could
terminate up. Through this run itself? Let's
see how long that downdriver progresses up.

I looked up at that FactorDB - right now that
sequence 1134 is making up with some rapid
progress, right at this moment, thus

That's why that type of sequence is being already classical
enough.
1. Sum of proper factors can be greater, lesser, or
equal to number, according to whether that number
is being abundant, deficient, or perfect. Otherwise
compare up with that Totient function, which is always
being lesser than that original number itself
2. Different prime families
3. Powered by using that structure of guides, drivers, downdrivers
with that final even to odd number transition itself
4. Powered by terminations in cycles such as perfect
numbers, amicable or sociable, along with that prime
endings, open end sequences, or that side sequence confluences

[bchaffin]

The workers score! 683730 terminates in a nearly straight run down from 105 digits.