12984

12984 is a natural number that comes after 12983 and before 12985. It is even and composite, with a prime factorization of 2^3 × 3 × 541, which shows it has 16 positive divisors.

The divisors of 12984 arise from combining the factors 2^a, 3^b, and 541^c with a in {0,1,2,3}, b in {0,1}, and c in {0,1}. The full set of divisors is 1, 2, 3, 4, 6, 8, 12, 24, 541, 1082, 1623, 2164, 3246, 4328, 6492, and 12984. This confirms its divisor count of 16.

In decimal form, the sum of the digits of 12984 is 1 + 2 + 9 + 8 + 4 = 24. Since 12984 is divisible by 24 (12984 = 24 × 541), it is a Harshad (Niven) number in base 10. This property highlights a simple digit-sum divisibility feature alongside its prime-factor structure.

In binary notation, 12984 equals 11001010111000. Beyond its standard arithmetic properties, it does not have notable widely cited mathematical significance, but it serves as an example of a composite Harshad number with a straightforward prime factorization.