10944

10944 is a positive integer that lies between 10943 and 10945. In mathematics, its prime factorization is 2^6 × 3^2 × 19, which gives 42 positive divisors. The sum of all divisors is 33020, so the sum of proper divisors is 22076; thus 10944 is an abundant number, meaning its proper divisors exceed the number itself.

The number is even and composite, and it can be expressed as 10944 = 64 × 171 = 576 × 19. Because the sum of its decimal digits is 18, 10944 is a Harshad (Niven) number in base 10, and 10944 ÷ 18 equals 608.

In base 10 arithmetic and elementary divisor theory, 10944 serves as an example of an abundant, even integer with a straightforward prime factorization. It is not prime and has divisors that include 2, 3, 6, 9, 19, and many products thereof. There are no widely recognized constants or standard sequences uniquely associated with 10944 beyond its role as a representative integer in discussions of divisors and abundancy.