8442

8442 is a natural number that follows 8441 and precedes 8443. In mathematics, it is an even composite number with prime factorization 2 × 3^2 × 7 × 67. It has 24 positive divisors. The sum of its divisors is 21216, so the sum of proper divisors is 12774. It is divisible by 9 and by 7, and by 6 and 18 as well, since 8442 = 18 × 469 with 469 = 7 × 67.

In terms of modular properties, the digit sum of 8442 is 18, giving a digital root of 9, and the number is divisible by 9 and by 3. It is not a perfect square or a perfect cube.

Base representations of 8442 include 0x20FA in hexadecimal, 0o20372 in octal, and 10000011111010 in binary. These representations reflect its factorization and its value in different numeral systems.

As a four-digit decimal integer, 8442 occasionally appears as a designation in catalogs, model numbers, or other identifiers. However, it does not correspond to a widely recognized mathematical constant or theorem.