20743

20743 is a natural number that follows 20742 and precedes 20744. It is a five-digit, odd integer. In number theory, 20743 is a prime number, meaning it has no positive divisors other than 1 and itself.

In different numeral bases, 20743 is represented as follows: in binary it is 101000100000111, in octal it is 50407, and in hexadecimal it is 5107. These representations reflect the number’s unique value across common base systems and can be used in computer science and digital electronics contexts where different bases are relevant.

From a modular arithmetic perspective, 20743 is congruent to 1 modulo 3, since the sum of its digits (2+0+7+4+3) equals 16, which is 1 modulo 3. It is not divisible by 2, 3, or 5, and its last digit of 3 indicates it is not even and does not end in 0 or 5. As a prime with no small divisors, its prime factorization is simply 1 × 20743.

As a five-digit prime, 20743 can appear in educational material on primality testing and integer representations. It does not have widely noted cultural or historical significance beyond its role as an example number in mathematical discussions.