17442

17442 is a natural number that follows 17441 and precedes 17443. In mathematics, it is an even composite number.

Its prime factorization is 2 × 3^3 × 17 × 19, which shows that 17442 has 32 divisors in total. The factorization also implies divisibility by many small primes and their products, including 2, 3, 9, 18, 17, and 19, among others.

The number is divisible by the sum of its digits (1 + 7 + 4 + 4 + 2 = 18), making 17442 a Harshad number in base 10. Equivalently, 17442 is divisible by 18, since 17442 ÷ 18 = 969. It is also divisible by 9 (and by 3, 6, and 54, among others) due to its digit sum and factorization.

In representations as a sum of consecutive positive integers, 17442 can be expressed in 16 different ways. This count corresponds to the number of odd divisors of the number, derived from its odd part 3^3 × 17 × 19.

In common numeral systems, 17442 is written as 0x4422 in hexadecimal. The decimal value remains 17442, and any study of its arithmetic properties, such as divisors and representations, can be explored further through its prime factorization and related theorems.