4092

4092 is a positive integer that comes after 4091 and before 4093. In mathematics, it is an even composite number. Its prime factorization is 2^2 × 3 × 11 × 31, so it is divisible by 4, 3, 6, 12, and 341, among others.

In different bases, 4092 has the representations 111111111100 in binary, 0o7774 in octal, and 0xFFC in hexadecimal. These base forms reflect its relation to powers of two and to common numeral systems used in computing and programming.

Additional properties include that 4092 is divisible by 12 (since 4 × 3 × 1 yields 12) and that the sum of its decimal digits is 15, which confirms divisibility by 3. Because its prime factorization includes several primes congruent to 3 modulo 4 with odd exponents, 4092 is not representable as a sum of two squares. It is neither a prime nor a perfect square or cube.

In a calendar context, if the year 4092 were used in a Gregorian calendar, it would be a leap year, since it is divisible by 4 and not by 100 (4092 mod 100 is 92). Consequently, February would have 29 days in that year.

There is no widely recognized cultural, historical, or scientific significance tied specifically to the number 4092 beyond its mathematical properties.