31662

31662 is a natural number that follows 31661 and precedes 31663. It is an even composite number with prime factorization 2 × 3^2 × 1759, where 1759 is prime. From this factorization, 31662 is divisible by 2, 3, 6, 9, and 18; in particular, 31662 = 18 × 1759.

The digit sum of 31662 is 18, so the number is divisible by 9 as well as by 3, giving a digital root of 9. In base-10, 31662 is a Harshad (Niven) number, meaning it is divisible by the sum of its digits.

In representations aside from decimal, 31662 equals 0x7BAE in hexadecimal and 111101110101110 in binary. The number has 12 positive divisors, which come from its prime-power factorization.

The sum of all divisors (the sigma function) is 68640, which yields a sum of proper divisors equal to 68640 − 31662 = 36978. Since this is greater than 31662, the number is classified as abundant.

Other arithmetic properties include that 31662 is divisible by 18 and is not a prime or a square. Its modular properties include being congruent to 1 modulo 7 (31662 ≡ 1 (mod 7)) and 2 modulo 4 (31662 ≡ 2 (mod 4)).

As a basic integer, 31662 serves as an example of an even, abundant, Harshad number with a mixed prime factorization, and it has straightforward representations in hexadecimal and binary.