8998

8998 is a positive integer. It lies between 8997 and 8999 and is an even number. In number theory, 8998 is a composite, square-free integer with prime factorization 2 × 11 × 409. Its divisors are 1, 2, 11, 22, 409, 818, 4499, and 8998.

In base representations, 8998 equals 0x2326 in hexadecimal and 10001100100110 in binary. The Euler totient of 8998 is 4080, since 8998 = 2 × 11 × 409 with distinct prime factors, so φ(8998) = 8998 × (1/2) × (10/11) × (408/409) = 4080.

The number is not divisible by 3 or 5, as indicated by the sum of digits (8+9+9+8 = 34) and the last digit, and its divisors confirm there are no other small prime factors beyond 2, 11, and 409. In typical mathematical use, 8998 appears in problems involving factorization, divisors, and modular arithmetic.

Beyond pure math, 8998 may serve as a catalog or identification number in various systems; there is no widely recognized historical year, event, or cultural significance associated with 8998 in commonly cited sources.