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The sum of the squares of the digits of 13 is 12 + 32 = 10. The sum of the squares of the digits of this result is 12 + 02 = 1. Because this process results in a 1, this number is a happy number.

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Q: How is 13 a happy number?
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Related questions

Is a happy number plus another happy number always a happy number?

The Wikipedia article lists the first happy numbers as 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, ..., so the answer is clearly no.


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Ah, what a happy little question! The nearest whole number to 13.1 is 13. You see, when a number is right in the middle, we can round it up or down depending on what's closest. In this case, 13 is just a little bit closer to 13.1 than 14. Just a happy little rounding decision to make!


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Add the squares of the digits of a whole number to make a new one. If you repeat this process and end up with the number 1, you have found a happy number. For example: 32= 9+4=13, 1+9=10, 1+0=1. Therefore 32 is a happy number


What is the prime factorization in exponential form for the number 52?

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How do you find a happy prime?

A happy prime is a number that is both happy and prime.A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay).Happy numbers below 50 are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, and 49. The five numbers in bold are also happy primes. There are a number of techniques for finding happy primes but for prime numbers of a few digits then the squaring and summing process is just as efficient.


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Ah, what a happy little challenge! To get the number 13 using only the digits 1, 2, 3, and 4, you can add 1, 2, 3, and 4 together. That would give you 10, then you can add 3 to that to get 13. Just remember, there are no mistakes, only happy accidents in math!


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2172th happy number?

when I think of a happy number i think of even numbers, so yes that would be a "happy" number, but if your not talking about an even number than i would think that 2172th is a lukcy or as you say it is a happy number.


What is 0.052 as a mixed number?

Well, isn't that a happy little question! Let's turn 0.052 into a mixed number. We can see that 0.052 is the same as 52 thousandths. So, as a mixed number, it would be 52/1000, which simplifies to 13/250. Just remember, there are no mistakes, just happy little accidents!