4044

4044 is a positive integer that follows 4043 and precedes 4045. In mathematics it is a composite number with several divisors, and it appears in basic arithmetic and number theory as an example of a factorable four-digit integer.

The prime factorization of 4044 is 2^2 × 3 × 337, where 337 is a prime number. Its full set of positive divisors is 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, and 4044.

Several arithmetic properties follow from this factorization. Since it is divisible by 4 and by 3, 4044 is divisible by 12, with a quotient of 337. The Euler totient function yields φ(4044) = 1344. The sum of its digits is 4 + 0 + 4 + 4 = 12, so 4044 is a Harshad (or Niven) number in base 10, as it is divisible by the sum of its digits.

In common numeral systems, 4044 is represented as binary 111111001100, hexadecimal FCC, and octal 7714. There is no widely recognized special significance attached to the number 4044 beyond its standard properties as a composite integer with the factors 2^2, 3, and 337.