4036

4036 is a natural number that follows 4035 and precedes 4037. It is an even and composite number with a prime factorization of 4036 = 2^2 × 1009, where 1009 is a prime number. This makes 4036 a multiple of 4 but not of 8.

The positive divisors of 4036 are 1, 2, 4, 1009, 2018, and 4036. Its sum of divisors is 7070. The digits of 4036 add up to 13, so it is not divisible by 3, and it leaves a remainder of 1 when divided by 5. It is not a square, not a cube, and not a triangular number. In modular arithmetic, 4036 ≡ 0 (mod 4) and 4036 ≡ 1 (mod 5).

In various base representations, 4036 equals:

- Decimal: 4036

- Binary: 111111000100

- Octal: 7704

- Hexadecimal: FC4

Because its prime factorization includes a large prime component, 4036 is sometimes encountered in number-theory examples illustrating factorization patterns or divisor counts. It does not have special significance as a prime, square, or highly composite number.

Beyond mathematics, 4036 could be encountered as a model number, a numerator or code, or a future year designation (4036 CE). In calendar terms, it would be a year in the distant future, for which no specific historical events are established.