733

733 is a natural number that follows 732 and precedes 734. In number theory, it is notable for being prime and for its position as the 130th prime number. As a prime, 733 has no positive divisors other than 1 and itself, and it is odd.

733 is congruent to 1 modulo 4, and it can be expressed as a sum of two squares: 27^2 + 2^2. This representation aligns with the theorem that primes congruent to 1 mod 4 can be expressed as a sum of two squares.

It has several common base representations: in binary, 733 is 1011011101; in octal, 1335; and in hexadecimal, 0x2DD. The Roman numeral form is DCCXXXIII.

As a calendar year, 733 AD is in the early medieval period; 733 BC is a year in the ancient era. In mathematical contexts, 733 is cited for its primality and its expression as a sum of two squares, among other standard numeral representations.