4099

4099 is the natural number that follows 4098 and precedes 4100. In decimal notation it is written as 4099. It is a prime number, meaning its only positive divisors are 1 and itself. The square root of 4099 is about 64.1, and a check of divisibility by primes up to this bound confirms its primality. It can be expressed as 2^12 + 3, since 2^12 equals 4096.

In other numeral systems, 4099 has the representations 0x1003 in hexadecimal, 0b1000000000011 in binary, and 0o10003 in octal.

Usage and occurrence: As a calendar year, 4099 would lie in the distant future in the Gregorian system, and there are no widely recognized historical events tied to that year. In mathematics and computing contexts, 4099 is sometimes noted as a prime near a power of two, because it is 2^12 + 3. It does not belong to any widely used special-prime families beyond its status as a prime number.

Other notes: Its proximity to 4096, a common power of two, highlights how small offsets from powers of two can yield prime candidates, though primality must be verified as not all such numbers are prime. In everyday references, 4099 primarily appears as a numeric identifier or a mathematical example rather than as a standard code or designation with universal meaning.