Author Topic: Math Community Quiz  (Read 49694 times)

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Offline Runer112

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Re: Math Community Quiz
« Reply #30 on: January 12, 2011, 10:14:36 pm »
I haven't actually figured this out yet myself, but it sounds like an interesting challenge, so:

Find the smallest positive integer that has at least 5 factors (including 1 and itself) for which the number of 1s in its base 2 representation equals the number of factors.

I hope this doesn't end up being too ridiculous to figure out. :o


EDIT: Reduced the minimum number of factors to 5.
« Last Edit: January 12, 2011, 10:21:22 pm by Runer112 »

Offline ruler501

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Re: Math Community Quiz
« Reply #31 on: January 12, 2011, 10:15:37 pm »
My calculator said nine I'll have to check that. How did you get your answer I just tried to make it more accurate at each decimal place

Runner did you mean have the ones in its binary form when added together equal the number of factors? Are you talking about prime factors?

Do they need to be seperate prime factors? if not it would be 125 or 1101111 factors are 125*1, 5*25, 5*5

Edit: Never Mind I'm temporarily stupid
« Last Edit: January 12, 2011, 10:31:09 pm by ruler501 »
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Offline Runer112

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Re: Math Community Quiz
« Reply #32 on: January 12, 2011, 10:20:11 pm »
Runner did you mean have the ones in its binary form when added together equal the number of factors?

Yes. By the way, is it ok that I changed the question slightly to reduce the minimum number of factors? Because now that I looked at it 6 is actually too easy :P
« Last Edit: January 12, 2011, 10:21:12 pm by Runer112 »

Offline nemo

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Re: Math Community Quiz
« Reply #33 on: January 12, 2011, 10:21:30 pm »
64?

edit: sorry i just made a program to figure it out and realized this makes no sense. disregard.

nevermind, it was a bug in the program. 63!
« Last Edit: January 12, 2011, 10:24:02 pm by nemo »


Offline Runer112

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Re: Math Community Quiz
« Reply #34 on: January 12, 2011, 10:25:29 pm »
Yeah, 63 is it. I probably should've thought a bit more before picking a question with, once you see it, such an obvious answer. :P

Offline jnesselr

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Re: Math Community Quiz
« Reply #35 on: January 12, 2011, 10:27:25 pm »
126 actually. 63 only has 5 factors including itself.

Offline Runer112

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Re: Math Community Quiz
« Reply #36 on: January 12, 2011, 10:28:44 pm »
What? I counted 1, 3, 7, 9, 21, and 63.

Offline nemo

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Re: Math Community Quiz
« Reply #37 on: January 12, 2011, 10:29:49 pm »
Yeah, 63 is it. I probably should've thought a bit more before picking a question with, once you see it, such an obvious answer. :P

yeah, but it seemed tricky. it was a cool problem. i'll think about what my question will be...


Offline jnesselr

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Re: Math Community Quiz
« Reply #38 on: January 12, 2011, 10:32:27 pm »
What? I counted 1, 3, 7, 9, 21, and 63.
Okay, wait, then you have to define factors here. 3*3*7=63. So I thought you meant that kind of factor.  And you just reduced it to 5, too.  By my definition:

3=7
4=15
5=110
6=126
7=720
8=1215
9=8019
10=10206

So since I was confused, who gets it? I thought factors as in it's prime factorization.
« Last Edit: January 12, 2011, 10:33:14 pm by graphmastur »

Offline ruler501

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Re: Math Community Quiz
« Reply #39 on: January 12, 2011, 10:32:58 pm »
Very Interesting problem wish I had thought it through more/seen your edit about 5 factors instead of 6 and I had been working with prime factors
« Last Edit: January 12, 2011, 10:34:00 pm by ruler501 »
I currently don't do much, but I am a developer for a game you should totally try out called AssaultCube Reloaded download here https://assaultcuber.codeplex.com/
-----BEGIN GEEK CODE BLOCK-----
Version: 3.1
GCM/CS/M/S d- s++: a---- C++ UL++ P+ L++ E---- W++ N o? K- w-- o? !M V?
PS+ PE+ Y+ PGP++ t 5? X R tv-- b+++ DI+ D+ G++ e- h! !r y

Offline Runer112

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Re: Math Community Quiz
« Reply #40 on: January 12, 2011, 10:34:41 pm »
Well it turns out the answer had 6 factors anyways :P

Offline jnesselr

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Re: Math Community Quiz
« Reply #41 on: January 12, 2011, 10:35:22 pm »
Well it turns out the answer had 6 factors anyways :P
So who wins? and 6 prime factors or what?

Offline Runer112

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Re: Math Community Quiz
« Reply #42 on: January 12, 2011, 10:37:53 pm »
I didn't specify that the factors had to be prime (didn't intend to specify it either, but I understand the confusion) so nemo got it.
« Last Edit: January 12, 2011, 10:38:30 pm by Runer112 »

Offline jnesselr

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Re: Math Community Quiz
« Reply #43 on: January 12, 2011, 10:38:59 pm »
I didn't specify that the factors had to be prime (didn't intend to imply that, but I understand the confusion) so nemo got it.
Okay. From now on, I think we need to specify random stuff.  For example:
Quote
No, that balloon isn't traveling the speed of light, but e^9.25 under it.

Offline ruler501

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Re: Math Community Quiz
« Reply #44 on: January 12, 2011, 10:39:14 pm »
I think Nemo should get it. He got the correct answer first
I currently don't do much, but I am a developer for a game you should totally try out called AssaultCube Reloaded download here https://assaultcuber.codeplex.com/
-----BEGIN GEEK CODE BLOCK-----
Version: 3.1
GCM/CS/M/S d- s++: a---- C++ UL++ P+ L++ E---- W++ N o? K- w-- o? !M V?
PS+ PE+ Y+ PGP++ t 5? X R tv-- b+++ DI+ D+ G++ e- h! !r y