13257

13257 is a positive integer that sits between 13256 and 13258. It is an odd, composite number with a simple prime factorization.

The prime factorization of 13257 is 3^3 × 491. Consequently, the positive divisors of 13257 are 1, 3, 9, 27, 491, 1473, 4413, and 13257. The number is divisible by 3, 9, and 27, but not by 5 or 7. The sum of its digits is 18, which does not make 13257 a Harshad number in base 10, since 13257 is not divisible by 18.

In terms of representations beyond decimal, 13257 equals 0x33C9 in hexadecimal, and its binary representation is 11001111001001. The square root of 13257 is between 115 and 116, so it is not a perfect square.

Number-theoretically, 13257 is the product of a cube of 3 and a prime 491, illustrating a simple mixed-prime structure. It has eight divisors in total, reflecting its factorization into a small prime power times a larger prime. Beyond these arithmetic properties, 13257 does not have widely noted special significances in common mathematical sequences or standard cataloged lists, making it primarily of interest as a concrete example of a composite number with a straightforward factorization.