5934

5934 is a positive integer that is even and composite. Its prime factorization is 2 × 3 × 23 × 43, so it is squarefree (no repeated prime factors). Equivalently, 5934 can be written as 6 × 989, or as 2 × 3 × 23 × 43.

The number has 16 divisors, obtained by multiplying any subset of its prime factors: 1, 2, 3, 6, 23, 46, 69, 138, 43, 86, 129, 258, 989, 1978, 2967, 5934. The sum of all divisors is σ(5934) = (1+2)(1+3)(1+23)(1+43) = 12672, so the sum of proper divisors is 12672 − 5934 = 6738. Since the sum of proper divisors exceeds the number, 5934 is an abundant number with an abundance of 804.

In different bases, 5934 is represented as follows: binary 1011100101110, hexadecimal 0x172E, and octal 13456. Numerically, 5934 is divisible by 2 and by 3 (and thus by 6), and it is not representable as a sum of two integer squares because its prime factorization includes 3, a prime congruent to 3 mod 4, to an odd power.

These properties place 5934 among even, composite, squarefree integers with a relatively large set of divisors and characteristic base representations.