# Favourite numbers

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

.

Note by Mr. India
1 month ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

## Comments

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My favourite number is $$142857$$

It is a cyclic number

It is a kaprekar number

It is a harshad number

$$\frac{1}{7}=0.\overline{142857}$$ and interestingly, $$\frac{1}{142857}=0.\overline{000007}$$

$$142+857=999$$ and $$14+28+57=99$$

- 1 month ago

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My favorite number is $$4679307774$$. It has $$10$$ digits, and it you sum each digit raised to the $$10$$th power (e.g. $$4^{10}+6^{10}+7^{10}+9^{10}+3^{10}+0^{10}+7^{10}+7^{10}+7^{10}+4^{10}$$), you will get $$4679307774$$, the same number.

- 1 month ago

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Interesting!!

- 1 month ago

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Are there any other numbers with similar property?

- 1 month ago

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Yes. View this oeis page.

- 1 month ago

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Does 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.

- 4 weeks, 1 day ago

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That is a really interesting question, to which I have no answer. I would definitely love to look into this more, though.

- 4 weeks ago

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this page has numbers for different bases

- 4 weeks ago

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Thanks so much!!

- 4 weeks ago

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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 ).

- 1 month ago

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Nice symmetry. And yes, 42 is the supreme number. Don't forget your towel!

- 1 month ago

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42 is so fly, I accidentally missed the ground

- 1 month ago

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please please please tell me why 42 is so great

- 4 weeks, 1 day ago

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Read the "The Hitchhiker's Guide to the Galaxy" book and you will understand everything. Sometimes it is a litte bit confusion, but it is still a essential book for people who do something with math (why? I don't know).

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.

- 4 weeks, 1 day ago

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42 is not a simple random number. There are a number of properties for which, it is the first or the last know number having them. And at least for one:

"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.

- 4 weeks ago

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Cool properties... But for Douglas Adams was 42 still a random number.

- 4 weeks ago

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Actually I loved the bits of The Hitchhiker's Guide to the Galaxy, that I heard once on the radio. Forgot about 42 being the answer to everything. Must read it properly. Thanks.

- 4 weeks ago

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Reference from big bang theory? :)

- 2 weeks, 2 days ago

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Yes ;)

- 2 weeks, 1 day ago

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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.

- 1 month ago

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I never saw 64 that way.

- 1 month ago

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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.....!!

- 1 month ago

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Curious number indeed!

- 1 month ago

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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.

- 1 month ago

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13, because no one like it

- 1 month ago

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Strange reason ;-)

- 1 month ago

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lol reverse psychology

- 4 weeks, 1 day ago

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