4837

4837 is a natural number that follows 4836 and precedes 4838. It is an odd composite integer and is notably a semiprime, being the product of two primes.

Its prime factorization is 7 × 691, with 691 itself being a prime number. The fact that 4837 factors into two primes makes it a typical example used in elementary discussions of semiprimes and factorization.

In different numeral bases, 4837 is represented as follows: binary 1001011100101, octal 11345, and hexadecimal 12E5. These representations illustrate how the same number appears across common bases.

Additional mathematical properties include that 4837 is not divisible by 2, 3, or 5. The digit sum is 22, so it is not a multiple of 3, and it leaves a remainder of 7 when divided by 10. Modulo 9, it is congruent to 4.

A notable related number is 691, which is one of the primes in the factorization of 4837. 691 is an irregular prime, known in number theory for its appearance in the context of Bernoulli numbers (specifically, it divides the numerator of the Bernoulli number B12). This connection sometimes highlights the relationship between simple composites and deeper properties of primes in mathematical discussions.

Applications of 4837 are primarily illustrative. As a small semiprime, it is common in introductory examples involving factorization and RSA-like demonstrations, though it does not have direct cryptographic significance due to its small size.