3733

3733 is a natural number that comes after 3732 and before 3734. It is an odd, four-digit prime number with no positive divisors other than 1 and itself.

In different bases, 3733 is represented as follows: in binary it is 111010010101, in octal 7225, in hexadecimal E95, and in base twelve 21B1. In Roman numerals it is MMMDCCXXXIII.

The sum of its digits is 16, so its digital root is 7. It is congruent to 7 modulo 9 and to 2 modulo 7 and modulo 13. A simple trial division up to the square root (about 61) shows no divisors, confirming primality.

Because it is prime, the only positive factorization is 1 × 3733. It does not belong to small composite patterns such as multiples of 2, 3, 5, or 11.

See also: Prime number; List of primes; Base representation.

Notes: The numeric label 3733 has no widely used mathematical constant associated with it, aside from its status as a prime in the usual integer sense.