31248

31248 is a positive integer that lies between 31247 and 31249. In decimal notation it is even and divisible by 16 and by 9, since the sum of its digits is 18 and 31248/16 equals 1953.

The prime factorization of 31248 is 2^4 × 3^2 × 7 × 31. Consequently, the number has 60 divisors (calculated as (4+1)(2+1)(1+1)(1+1) = 60). The sum of all divisors is 103,168, which means the sum of its proper divisors is 71,920. Because the sum of proper divisors exceeds the number itself, 31248 is classified as an abundant number.

As a Harshad (Niven) number in base 10, 31248 is divisible by the sum of its digits: 3+1+2+4+8 = 18, and 31248/18 = 1736.

Additional structure notes: 31248 can be written as 144 × 217, where 144 = 2^4 × 3^2 and 217 = 7 × 31. This reflects the overall factorization and highlights its divisibility by 16 and by 9, as well as by the primes 7 and 31.

In general use, 31248 may appear as a numeric identifier, a puzzle element, or a reference number in systems that employ five-digit integers. It does not have a widely recognized name beyond its numerical properties.