In this note, you can tell everyone about your favourite number.
The number should have some interesting property which makes it your favourite.
Note : your number should be a natural number
.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
My favourite number is 142857
It is a cyclic number
It is a kaprekar number
It is a harshad number
71=0.142857 and interestingly, 1428571=0.000007
142+857=999 and 14+28+57=99
My favorite number is 4679307774. It has 10 digits, and it you sum each digit raised to the 10th power (e.g. 410+610+710+910+310+010+710+710+710+410), you will get 4679307774, the same number.
Log in to reply
Interesting!!
Log in to reply
Are there any other numbers with similar property?
Log in to reply
oeis page.
Yes. View thisDoes such a number exists in every base ? So in base n a n-digit number with is the same as raise the digits to n and add up these numbers.
Log in to reply
That is a really interesting question, to which I have no answer. I would definitely love to look into this more, though.
this page has numbers for different bases
Log in to reply
73 and 42.
73 is the 21th prime number
21=7∗3
37 is the 12th prime number(Do you see the symmetry).
73 is in base 2 1001001 which is symmetric.
42 is coolest of each number(hopefully you know why, if you don't know why, don't panic ).
Log in to reply
Nice symmetry. And yes, 42 is the supreme number. Don't forget your towel!
Log in to reply
42 is so fly, I accidentally missed the ground
Log in to reply
Log in to reply
In other words 42 is a random number, which a random guy wrote in a random book, and it is the answer of life, universe and everything, and that's why it is so special.
Log in to reply
"42 is the only known value that is the number of sets of four distinct positive integers a, b, c, d, each less than the value itself, such that ab − cd, ac − bd, and ad − bc are each multiples of the value. Whether there are other values remains an open question."
Quoted from the Wikipedia.
Log in to reply
Reference from big bang theory? :)
Log in to reply
Yes ;)
Don't laugh, I think my favorite number is 64. My life is full of coincidences related with that number, starting with my birthday year. 6+4=10 is the base of our decimal system, 64 is the 6th power of 2, 6 is the first perfect number and 4 is also a power of 2, 6-4=2, my favorite numerical base, 6*4=24, the number of hours of our day, so, overall, it has a lot of other of my favorite numbers. These is not over the top properties but it is enough to me.
Log in to reply
I never saw 64 that way.
24 because it is 4!, (2^1)(3^2)(1^3), it is an antiprime, also because of challenge 24, 24 hours in a day, 2+2=4, 2*2=4, 2^2=4, 2^(24-1)=8388608 which is a pretty cool power of 2 since it contains a lot of 8's, and 5^2-1^2, 7^2-5^2.
Log in to reply
Pretty interesting!
Well, my favourite number, even though is kind of cliche, is the Euler Mascheroni Constant!!
I mean it surprises me that we do not have its closed form!!! And this is the kind of number which can be EASILY explained to anyone using its definition, but yet, no one would know the vast amount of properties it has.....!!
Log in to reply
Curious number indeed!
You forgot, it should have be a natural number. I'm not taking it down, I'm sure it must be a very sexy number.
13, because no one like it
Log in to reply
Strange reason ;-)
Log in to reply
lol reverse psychology