4076

4076 is a positive integer in the decimal numeral system. It is even and can be factored as 4076 = 2^2 × 1019, where 1019 is a prime number. Consequently, the divisors of 4076 include 1, 2, 4, 1019, 2038, and 4076.

In terms of simple divisibility, 4076 is divisible by 2 and by 4, since the last two digits form 76, which is divisible by 4. It is not divisible by 3 or 5, as indicated by the digit sum (4 + 0 + 7 + 6 = 17) and the final digit. The number is not a Harshad number, because it is not divisible by the sum of its digits.

Its representations in other bases include binary, hexadecimal, and octal. In binary, 4076 is 111111101100. In hexadecimal, it is 0x0FEC. In octal, it equals 0o7754. These base representations are useful for low-level computing and digital electronics contexts.

If interpreted as a year, 4076 would be a leap year under the Gregorian calendar rules, since it is divisible by 4 and not by 100 (or, equivalently, it satisfies the standard leap year condition for most centuries).

As a numeric identifier, 4076 serves primarily as a point of reference: it is the successor of 4075 and the predecessor of 4077. Its arithmetic properties—being a composite number with a small set of divisors, and its distinct base representations—are typical features noted in elementary number theory.