12337

12337 is a positive integer. It factors as 13^2 × 73, so its prime factorization is 12337 = 13^2 · 73. The positive divisors are 1, 13, 73, 169, 949, and 12337, making it a composite number that is not a perfect square.

In different base representations, 12337 appears as follows: in hexadecimal it is 0x3031, in binary it is 11000000110001, and in octal it is 30061. The sum of its decimal digits is 16, so it is not divisible by 3. Its residue classes include 12337 ≡ 7 (mod 9) and 12337 ≡ 3 (mod 7).

As a mathematical object, 12337 is notable primarily for its factorization into prime components, illustrating a case where a number is the product of a squared prime and another prime. This yields a divisor structure with six positive divisors and a non-square composite form. Beyond basic arithmetic and base representations, there are no widely recognized mathematical constants, theorems, or notable applications specifically associated with the number 12337. It serves as an example of how composite numbers can be decomposed into prime factors and how their divisors are arranged.