2623

2623 is a natural number that comes after 2622 and before 2624. In mathematics, it is notable as a semiprime, meaning it is the product of two primes.

Its prime factorization is 2623 = 43 × 61, with 43 and 61 both prime. Therefore, 2623 is composite but square-free, having no repeated prime factors. The number is odd and not divisible by 3, 5, or 7, and its square root is approximately 51.2, which explains why its only nontrivial divisors are 43 and 61.

In various base representations, 2623 appears as follows: binary 101000111111, hexadecimal A3F, octal 5077, and ternary 10121011. It can also be written in base 6 as 20051. The digit sum in decimal is 13, and 2623 is congruent to 3 modulo 4.

As a semiprime, 2623 lies in a class of integers studied in number theory for their simple factor structure. It is not prime, not a perfect square, and has exactly four divisors: 1, 43, 61, and 2623.

Beyond these mathematical properties, 2623 does not have widely recognized significance in popular culture, history, or science. It is primarily encountered as an example numeral in discussions of semiprimes and integer representations in different bases.