6296

6296 is a natural number following 6295 and preceding 6297. It is an even composite integer with prime factorization 2^3 × 787, where 787 is prime. Its prime factors yield eight positive divisors: 1, 2, 4, 8, 787, 1574, 3148, and 6296.

Arithmetic functions and basic properties: the Euler totient function φ(6296) equals 3144, and the sum of all positive divisors σ(6296) equals 11,820, giving a sum of proper divisors of 5,524. Because the sum of proper divisors is less than the number, 6296 is classified as a deficient number. The Möbius function μ(6296) is 0 due to the square factor 2^3; it has two distinct prime factors and four prime factors counted with multiplicity.

In positional notation, 6296 is written in binary as 1100010011000 and in hexadecimal as 0x1898. It is not a perfect square or cube, not a triangular number, and not palindromic in base 10. As a four-digit decimal integer, it appears in numerical sequences and problems where factors, divisor sums, or multiplicative functions are of interest.

6296 has no widely recognized cultural or historical significance independent of its mathematical properties; references to it typically arise in contexts involving number theory, enumeration, or as an index or identifier in catalogs and datasets.