7264

7264 is a positive integer that lies between 7263 and 7265. It is even and composite.

Its prime factorization is 2^5 × 227, with 227 being a prime number. This factorization implies that 7264 has 12 positive divisors: 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, and 7264. The Euler totient function value is φ(7264) = 3616, and the sum of its positive divisors is σ(7264) = 14364.

In other representations, 7264 equals 32 times 227, reflecting its divisibility by powers of two up to 2^5. In binary, 7264 is 1110001100000, and in hexadecimal it is 0x1C60. The decimal digits sum to 19, and 7264 is not divisible by 19, so it is not a Harshad (Niven) number.

Context and notability: 7264 does not correspond to a widely known mathematical constant or notable constant in standard references. It can appear in various numerical lists, identifiers, or cataloging systems as a plain integer value.

In summary, 7264 is a non-prime, even integer with the prime factorization 2^5 × 227, twelve divisors, and common base representations that reflect its composition.