6259

6259 is a natural number that follows 6258 and precedes 6260. In mathematics, it is an odd composite integer with a prime factorization of 11 × 569; 569 itself is a prime number. Because it is not a perfect square, cube, or higher power, its only divisors are 1, 11, 569, and 6259. In binary representation, 6259 is expressed as 1100001101011, and in hexadecimal it appears as 0x186B.

In number theory, 6259 is classified as a semiprime, being the product of exactly two prime factors. Its Euler totient value φ(6259) equals 5600, reflecting the count of positive integers less than 6259 that are coprime to it. The number also features in the sequence of centered triangular numbers, though it does not itself belong to that sequence.

Beyond pure mathematics, 6259 has been used as an identifier in several cataloging systems. Minor planet 6259, discovered in 1989, is designated 1989 NA and resides in the main asteroid belt; its official name has not been assigned beyond the numerical designation. In telecommunications, the digits 6259 can appear in telephone numbering plans as part of local exchange codes in certain regions, though no single country has it as a nationwide area code.

The numeral occasionally appears in cultural contexts such as model numbers for consumer electronics, vehicle parts, and engineering components, where it typically serves as an internal reference rather than a symbol with broader meaning.