5958

5958 is a natural number that follows 5957 and precedes 5959. It is even and composite, not a prime, and its factorization reveals its internal structure.

The prime factorization of 5958 is 2 × 3^2 × 331, with 331 being prime. Consequently, 5958 has 12 positive divisors: 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, and 5958.

In terms of arithmetic properties, the sum of its digits is 27, making the number divisible by 9 (5958 ÷ 9 = 662). It is also divisible by 2 and 3, but not by 27 (5958 ÷ 27 is not an integer). Other simple divisibility observations follow from its factorization: it is divisible by 6, 18, and other combinations derived from its prime factors.

5958 has several standard base representations. In binary it is 1011101000110_2. In octal it is 13506_8, and in hexadecimal it is 0x1746.

As a specific integer, 5958 does not carry widely noted mathematical conjectures or well-known historical significance beyond its role as a composite example with a straightforward prime factorization. It serves as a representative case of a number with multiple small and moderately large prime factors.