[seqfan] Re: Cumulative multiplication

[Bob Selcoe]

Hi Seqfans,

It's interesting how many of the numbers are divisible by prior numbers. 
For example:

3682784876146817236992 / 28771756844897009664 = 891981549010944
28771756844897009664 / 611784327168 = 47029248
611784327168 / 4161798144 = 147
4161798144 / 4128768 = 1008
4128768 / 18432 =224
18432 / 384 = 48
384 / 128 = 3

and:

13395375 / 735 = 18225
13395375 / 175 = 76545

among others.

Any idea as to why this is?  Might this help giver to clues to (possibly) 
finding larger numbers with this property, if any exist?

Cheers,
Bob Selcoe

--------------------------------------------------
From: "Max Alekseyev" <maxale at gmail.com>
Sent: Wednesday, April 29, 2015 3:42 PM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Cumulative multiplication

> There are no other terms below 10^300.
> The sequence is subsequence of A007602 and likely of A128606 and A257554.
> The latter (which intersection of the former two) itself is likely finite.
> Below 10^300 it has 66 terms with the largest containing just 46 digits.
>
> Regards,
> Max
>
> On Wed, Apr 29, 2015 at 10:11 AM, M. F. Hasler <oeis at hasler.fr> wrote:
>
>> Congratulations! Great work, Giovanni!
>> It is indeed nice when live surprises us --
>> provided it is a nice surprise as this one... :D !
>> This came insofar more as a surprise, as I just had proposed this
>> sequence as https://oeis.org/draft/A257275 maybe 15 minutes before you
>> sent your message.
>>
>> Wishing a very nice day to all SeqFans,
>> Maximilian
>>
>>
>> On Wed, Apr 29, 2015 at 10:04 AM, Giovanni Resta <g.resta at iit.cnr.it>
>> wrote:
>> > On 04/19/2015 05:15 AM, David Wilson wrote:
>> >>
>> >> I would be very surprised if we found any more good numbers.
>> >
>> >
>> > Isn't it nice when life surprises us ?
>> >
>> > 3682784876146817236992 = p(3682784876146817236992) * p(3682784876).
>> >
>> >
>> > (No other < 10^100. If we allow to multiply digits from both ends
>> > of the number, like in
>> > 4794391461888 = 8*8*8*(4*7*9*4*3*9*1*4*6*1*8*8*8)*4*7, then the
>> > non trivial such numbers < 10^100 are
>> > 128, 175, 384, 735, 1296, 18432, 34992, 442368, 4128768, 13395375,
>> > 13436928, 161243136, 1269789696, 4161798144, 149824733184,
>> > 611784327168, 4794391461888, 2877833474998272, 3682784876146817236992.)
>> >
>> > Giovanni
>> >
>> >
>> >
>> > _______________________________________________
>> >
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>>
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>>
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>
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