4937

4937 is a natural number that follows 4936 and precedes 4938. In mathematics, it is a prime number, meaning its only positive divisors are 1 and itself, and it is odd.

Because 4937 is congruent to 1 modulo 4, it belongs to the class of primes that can be expressed as a sum of two squares. Indeed, 4937 can be written as 64^2 + 29^2, since 4096 + 841 equals 4937.

In common numeral systems, 4937 has the binary representation 1001101001001 and the hexadecimal representation 0x1349. These representations reflect the same value in different bases and are often used in computer science and digital engineering contexts.

There are no widely noted historical or cultural associations with the number 4937. It is primarily encountered as a prime in mathematical discussions and in contexts where specific numeric examples are required.