285714!

er.neerajsrivastava · 2006-12-27 04:15:55

what is the fastest way to compute???(i.e. factorial of 285714)???

Last edited by er.neerajsrivastava (2006-12-27 04:16:54)

krassi_holmz · 2006-12-27 04:25:36

He he!
Joke, right?

krassi_holmz · 2006-12-27 04:29:25

It has more than a million digits!
But...
Using Mathematica I get it for 1.734 seconds

Last edited by krassi_holmz (2006-12-27 07:43:06)

Toast · 2006-12-27 05:24:50

If you want an fast approximation, but not an exact answer, use Stirling's Formula:

Where n is the number you want the factorial of, and e is euler's number ≈ 2.7182
The approximation gets more accurate the larger the value of n.

Devantè · 2006-12-27 05:40:11

Yep, Toast is correct.

It's a very well known James-Stirling formula. Like Toast said.

krassi_holmz · 2006-12-27 07:44:44

But in some cases, an accurate result is needed.
er, could you tell us what do you need it for?

Devantè · 2006-12-27 09:34:08

Finding the factorial of 285714 does seem a little awkward to be a homework question. Maybe it isn't being used for mathematics.

Or maybe it was just something random that er.neerajsrivastava picked out or the random mist of randomness.

MathsIsFun · 2006-12-27 09:47:03

Not entirely random. 2/7 = 0.285714...

Great Answers, Guys!

Devantè · 2006-12-27 09:51:50

Hmm, didn't notice that, well spotted.

krassi_holmz · 2006-12-27 12:10:45

Yep. Rod has an eye!
I was just trying to post that.

Last edited by krassi_holmz (2006-12-27 12:11:25)

Devantè · 2006-12-28 10:16:05

Maybe er.neerajsrivastava is doing some sort of experiment on finding the factorials of irrational/rational/recurring digits. Or something like that.

er.neerajsrivastava · 2006-12-28 17:10:44

thanks guys it helped me a lot but one more thing puzzled me ? the significanse of 2/7 ? well it is not a random one.

krassi_holmz · 2006-12-29 00:20:54

yep. What kind if relation are you looking for?

Devantè · 2006-12-29 06:58:38

This 'Mathematica'...is it free? It sounds like a good program.

krassi_holmz · 2006-12-29 07:20:06

Nope.
It would be cool if it was.
I have it as a kind of present. It helps me much for some problems.
But there exist many free math programs - I've had a link somewhere - and some of them are even better than mathematica in some cases.

Devantè · 2006-12-29 07:27:37

Oh, that's a bit of a drag, it would've been good to have that program.

Thanks for the information, I will be looking for some good math programs.

krassi_holmz · 2006-12-29 07:31:27

Some links:
Mathematica Wikipedia (I like this description):
http://en.wikipedia.org/wiki/Mathematica
Maple (currently the bigger competitior):
http://en.wikipedia.org/wiki/Maple_comp … bra_system
A list:
http://en.wikipedia.org/wiki/List_of_co … ra_systems

Devantè · 2006-12-29 07:46:25

That's extremely useful, thanks.

krassi_holmz · 2006-12-29 07:49:43

for nothing.

Devantè · 2006-12-29 07:55:07

I remember seeing an image you posted, did you use Maple for it? I saw a similar image from WikiPedia.

krassi_holmz · 2006-12-29 08:16:14

Which Image?
If it's some kind of a graph of a function, then it should be Mathematica.
I've posted Maple images only 1 ro 2 times.

Last edited by krassi_holmz (2006-12-29 08:17:38)

Devantè · 2006-12-29 08:27:31

Yes, it's the graph of a function coloured blue.

manoj · 2008-01-19 00:49:04

Devantè wrote:

Finding the factorial of 285714 does seem a little awkward to be a homework question. Maybe it isn't being used for mathematics.
Or maybe it was just something random that er.neerajsrivastava picked out or the random mist of randomness.

John E. Franklin · 2008-01-19 05:21:30

Is 10^4486550 close to right using Stirlings? I punched in log to simplify in calculator and then
said it was 10 up that amount later.

My cheap calculator says: 10^4486549.428, oh but I retyped in a #, so off a little, instead
of using parenthesis.

Last edited by John E. Franklin (2008-01-19 05:25:52)

Math Is Fun Forum

#1 2006-12-27 04:15:55

285714!

#2 2006-12-27 04:25:36

Re: 285714!

#3 2006-12-27 04:29:25

Re: 285714!

#4 2006-12-27 05:24:50

Re: 285714!

#5 2006-12-27 05:40:11

Re: 285714!

#6 2006-12-27 07:44:44

Re: 285714!

#7 2006-12-27 09:34:08

Re: 285714!

#8 2006-12-27 09:47:03

Re: 285714!

#9 2006-12-27 09:51:50

Re: 285714!

#10 2006-12-27 12:10:45

Re: 285714!

#11 2006-12-28 10:16:05

Re: 285714!

#12 2006-12-28 17:10:44

Re: 285714!

#13 2006-12-29 00:20:54

Re: 285714!

#14 2006-12-29 06:58:38

Re: 285714!

#15 2006-12-29 07:20:06

Re: 285714!

#16 2006-12-29 07:27:37

Re: 285714!

#17 2006-12-29 07:31:27

Re: 285714!

#18 2006-12-29 07:46:25

Re: 285714!

#19 2006-12-29 07:49:43

Re: 285714!

#20 2006-12-29 07:55:07

Re: 285714!

#21 2006-12-29 08:16:14

Re: 285714!

#22 2006-12-29 08:27:31

Re: 285714!

#23 2008-01-19 00:49:04

Re: 285714!

#24 2008-01-19 05:21:30

Re: 285714!

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