7256

7256 is a natural number that lies between 7255 and 7257. It is an even and composite number. The prime factorization of 7256 is 2^3 × 907, with 907 being a prime number. This implies that the positive divisors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, and 7256, giving a total of eight divisors. The sum of these divisors is 13,620. The Euler totient function for 7256 is φ(7256) = 3624, since φ is multiplicative over coprime factors and 7256 = 2^3 × 907 yields φ(7256) = φ(2^3) × φ(907) = 4 × 906 = 3624.

In different numeral systems, 7256 can be represented as 1110001011000 in binary and as 0x1C58 in hexadecimal. In scientific notation, it is approximately 7.256 × 10^3. The number’s factorization also shows that 7256 is a multiple of both 8 and 907.

7256 is used in mathematical contexts as an example of a small composite number with a simple prime factorization. Beyond its role in arithmetic properties, it does not carry widely recognized significance in other fields, but it serves as a concrete instance for illustrating divisor structure, modular considerations, and base conversions in number theory.