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
5 months, 4 weeks ago

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1 vote

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My favourite number is 142857142857

It is a cyclic number

It is a kaprekar number

It is a harshad number

17=0.142857\frac{1}{7}=0.\overline{142857} and interestingly, 1142857=0.000007\frac{1}{142857}=0.\overline{000007}

142+857=999142+857=999 and 14+28+57=9914+28+57=99

Mr. India - 5 months, 4 weeks ago

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My favorite number is 46793077744679307774. It has 1010 digits, and it you sum each digit raised to the 1010th power (e.g. 410+610+710+910+310+010+710+710+710+4104^{10}+6^{10}+7^{10}+9^{10}+3^{10}+0^{10}+7^{10}+7^{10}+7^{10}+4^{10}), you will get 46793077744679307774, the same number.

Joshua Lowrance - 5 months, 4 weeks ago

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Interesting!!

Mr. India - 5 months, 3 weeks ago

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Are there any other numbers with similar property?

Mr. India - 5 months, 3 weeks ago

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@Mr. India Yes. View this oeis page.

Joshua Lowrance - 5 months, 3 weeks 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.

CodeCrafter 1 - 5 months, 3 weeks 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.

Joshua Lowrance - 5 months, 3 weeks ago

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this page has numbers for different bases

Mr. India - 5 months, 3 weeks ago

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@Mr. India Thanks so much!!

Joshua Lowrance - 5 months, 3 weeks ago

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73 and 42.

73 is the 21th prime number

21=7321 = 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 ).

CodeCrafter 1 - 5 months, 3 weeks ago

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

Joshua Lowrance - 5 months, 3 weeks ago

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42 is so fly, I accidentally missed the ground

Dan Woldeyesus - 5 months, 3 weeks ago

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@Dan Woldeyesus please please please tell me why 42 is so great

Mary Brown - 5 months, 3 weeks ago

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@Mary Brown 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 - 5 months, 3 weeks ago

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@CodeCrafter 1 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.

João Pedro Afonso - 5 months, 3 weeks ago

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@João Pedro Afonso Cool properties... But for Douglas Adams was 42 still a random number.

CodeCrafter 1 - 5 months, 3 weeks ago

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@CodeCrafter 1 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.

Mary Brown - 5 months, 3 weeks ago

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Reference from big bang theory? :)

Zhang Xiaokang - 5 months, 1 week ago

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Yes ;)

CodeCrafter 1 - 5 months, 1 week 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.

João Pedro Afonso - 5 months, 3 weeks ago

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I never saw 64 that way.

Mr. India - 5 months, 3 weeks ago

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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.

Ruilin Wang - 2 months, 3 weeks ago

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Pretty interesting!

Mr. India - 2 months, 1 week 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.....!!

Aaghaz Mahajan - 5 months, 4 weeks ago

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Curious number indeed!

Mr. India - 5 months, 3 weeks 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.

João Pedro Afonso - 5 months, 3 weeks ago

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13, because no one like it

Michael Wang - 5 months, 3 weeks ago

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Strange reason ;-)

Mr. India - 5 months, 3 weeks ago

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lol reverse psychology

Michael Wang - 5 months, 3 weeks ago

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