12742

12742 is a natural number that follows 12741 and precedes 12743. It is an even, composite number with prime factorization 2 × 23 × 277, making it squarefree.

Its positive divisors are 1, 2, 23, 46, 277, 554, 6371, and 12742. Consequently, the number has eight divisors in total. The sum of all divisors, known as the divisor function, is 20016; the sum of proper divisors is 7274, which is less than 12742, so 12742 is a deficient number.

In various bases, 12742 has these representations: in binary it is 11000111000110; in hexadecimal it is 0x31C6; and in octal it is 0o30706. The decimal digits are 1, 2, 7, 4, and 2, with a digit sum of 16. The number is congruent to 6 modulo 8 (12742 ≡ 6 (mod 8)) and to 1 modulo 3 (12742 ≡ 1 (mod 3)); equivalently, 12742 ≡ 7 (mod 9).

As a product of three distinct primes, 12742 serves as an accessible example in basic factorization and divisor-related topics. It does not belong to the set of special constants or widely cited sequences, but it illustrates common arithmetic properties such as evenness, squarefreeness, and deficiency.