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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.

@Mary Brown
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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.

@CodeCrafter 1
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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."

@CodeCrafter 1
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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.

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.

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.

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.....!!

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## Comments

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TopNewestMy 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 $14+28+57=99$

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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.

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Interesting!!

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Are there any other numbers with similar property?

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oeis page.

Yes. View thisLog in to reply

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.

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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.

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this page has numbers for different bases

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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,

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

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42 is so fly, I accidentally missed the ground

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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.

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"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.

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Reference from big bang theory? :)

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Yes ;)

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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.

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I never saw 64 that way.

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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!

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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.....!!

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Curious number indeed!

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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.

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13, because no one like it

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Strange reason ;-)

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lol reverse psychology

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