11298

11298 is a natural number that follows 11297 and precedes 11299. In mathematics, it is notable for being even and composite, with a straightforward prime factorization and several basic arithmetic properties.

Its prime factorization is 11298 = 2 × 3 × 7 × 269. Because all prime factors occur to the first power, 11298 is square-free and has 16 positive divisors: 1, 2, 3, 6, 7, 14, 21, 42, 269, 538, 807, 1614, 1883, 3766, 5649, and 11298. The number is divisible by 2, 3, 6, 7, 14, 21, 42, and the other composite products formed from these primes.

In various base representations, 11298 appears as follows: binary 10110000100010, octal 26042, and hexadecimal 2C22. These representations reflect its factorization and make it suitable for quick checks in different numeral systems.

From a number-theoretic standpoint, 11298 is not representable as a sum of two squares, since primes congruent to 3 modulo 4 (such as 3 and 7) appear with odd exponent in its factorization. It is a Harshad (Niven) number in base 10, because it is divisible by the sum of its digits: 1 + 1 + 2 + 9 + 8 = 21, and 11298 ÷ 21 = 538.

Usage of the number 11298 can occur as a numeric identifier in various coding, cataloging, or inventory systems. Beyond its arithmetic properties, there is no widely documented mathematical or cultural significance attached to this specific integer.