12289

12289 is an integer, a natural number that follows 12288 and precedes 12290. It is an odd number, meaning it is not divisible by 2. In terms of prime factorization, 12289 is a prime number itself, meaning its only positive divisors are 1 and itself. This makes it an element of the set of prime numbers.

The number 12289 can be represented in different number bases. In base 10, its standard representation is one ten-thousand, two thousands, two hundreds, eight tens, and nine ones. In binary, it is 11000000010001. In hexadecimal, it is represented as 3001. The sum of its digits in base 10 is 1 + 2 + 2 + 8 + 9 = 22.

Within mathematics, prime numbers like 12289 are fundamental in number theory. They are the building blocks for all other integers through multiplication. The study of prime numbers, their distribution, and their properties is a significant area of research. The specific characteristics of 12289, such as its primality, are determined through various mathematical tests. It does not appear to have any widely known unique properties or occurrences in common mathematical formulas or constants beyond its prime nature.

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