1044

1044 is a natural number that follows 1043 and precedes 1045. It is an even composite number whose prime factorization is 2^2 × 3^2 × 29, giving it 18 positive divisors. Because its prime factors include 2, 3, and 29, 1044 is divisible by 4, 9, 12, and 29, and it is a multiple of 12 (1044 ÷ 12 = 87).

In representation systems used in computing and mathematics, 1044 has several common forms: in binary it is 10000010100_2, in octal 2024_8, and in hexadecimal 0x414. In Roman numerals it is written as MXLIV.

In addition to divisibility properties, 1044 is a Harshad number in base 10, since the sum of its digits is 9 and 1044 divided by 9 equals 116. It can also be expressed as the sum of two squares: 1044 = 30^2 + 12^2, a representation that aligns with its prime factorization since 29 is congruent to 1 mod 4.

Because of its factorization, 1044 is not prime and is used as an example of a composite with small prime factors. In mathematics and number theory contexts, it sometimes serves as a test case for divisibility and base-conversion properties.