4089

4089 is a natural number that follows 4088 and precedes 4090. In mathematics, it is an odd composite integer and has the prime factorization 3 × 29 × 47, making it squarefree (no repeated prime factors).

As a multiple of 3, the digit sum of 4089 is 4 + 0 + 8 + 9 = 21, which is divisible by 3. Consequently, 4089 is not divisible by 9, and it is not a Harshad number since 4089 is not divisible by the sum of its digits (21). It is not a triangular or square number, and in terms of sum of two squares, 4089 cannot be expressed as such because it contains primes congruent to 3 mod 4 (namely 3 and 47) with odd exponents in its factorization.

In various numeral systems, 4089 has representations such as binary 111111111001, octal 7771, and hexadecimal FF9 (or 0xFF9). It is also equal to 2^12 − 7, highlighting its closeness to a power of two.

As a calendar reference, 4089 CE would be a year in the 41st century. There is no widely noted historical event tied to this exact number, but it may appear in fictional or contextual discussions as a year designation.

Overall, 4089 is primarily of interest for its factorization and base representations, as well as its status as an odd, squarefree composite number.