4409

4409 is a natural number that comes after 4408 and before 4410. In mathematics it is notable for being a prime number, and it is odd, since it ends in 9. The sum of its decimal digits is 17.

As a prime, 4409 is congruent to 1 modulo 4 (4409 ≡ 1 (mod 4)). A classical result in number theory states that primes of this form can be expressed as the sum of two squares; for 4409 this representation is 4409 = 53^2 + 40^2.

In different numeral systems, 4409 has the following representations: binary 1000100111001_2, hexadecimal 0x1139, and octal 010471. In Roman numerals, using the additive convention for thousands, it can be written as MMMMCDIX.

Additional properties follow from its primality and its congruence class: the representation as a sum of two squares is unique up to the order of the squares and signs. The number itself has no positive divisors other than 1 and 4409, which is the defining feature of primes.

Beyond its mathematical characteristics, 4409 may appear as an identifier or catalog number in various contexts, but there is no widely recognized meaning of the number beyond its numerical and theoretical properties.