3844

3844 is a natural number that comes after 3843 and before 3845. It is a perfect square, being the square of 62.

Its prime factorization is 2^2 × 31^2, so 3844 = (2 × 31)^2 = 62^2. Consequently, its positive divisors are 1, 2, 4, 31, 62, 124, 961, 1922, and 3844. The number is even and divisible by 4 and by 31.

In other bases, 3844 is 0xF04 in hexadecimal, 0b111100000100 in binary, and 0o7404 in octal.

As a square of a composite integer, 3844 is not prime. Its mathematical significance is mainly as an example of a square that factors neatly into small primes (2^2 × 31^2) and as a member of the sequence of perfect squares. No widely recognized constants or named theorems are specifically associated with this number.