6957

6957 is a natural number that follows 6956 and precedes 6958. It is an odd, composite integer with a prime factorization of 3^2 × 773, where 773 is itself a prime number. Consequently, 6957 has exactly six positive divisors: 1, 3, 9, 773, 2319, and 6957. Its digital sum is 27, which makes 6957 divisible by 9, and its digital root is 9.

In various numeral systems, 6957 is represented as follows: in binary it is 1101100101101, and in hexadecimal it is 0x1B2D. In octal, it is 15455. These representations reflect its size and place in different base systems.

From a number-theory perspective, 6957 has an interesting property regarding sums of consecutive integers. A positive integer can be expressed as a sum of consecutive positive integers in as many ways as there are odd divisors of the number. Since 6957 has six odd divisors, it can be written as a sum of consecutive positive integers in six different ways, including the single-term representation of itself.

Overall, 6957 is a standard four-digit integer with typical arithmetic properties, illustrating common factors, base representations, and its role in a classic number-theory fact about sums of consecutive integers.