5931

5931 is a natural number that follows 5930 and precedes 5932. In mathematics it is classified as a composite number, since it has more than two positive divisors.

The prime factorization of 5931 is 3^2 × 659, with 659 being a prime number. The sum of its digits is 18, which makes 5931 divisible by 9 (5931 ÷ 9 = 659). It is not divisible by 4, 5, or 11. In different numeral systems, 5931 is represented as follows: binary 1011100101011, octal 13453, and hexadecimal 0x172B. In Roman numerals, a common convention would render it as V with a bar over it (representing 5000) plus CM for 900 and XXX for 30, giving V̄CMXXX.

Beyond its basic arithmetic properties, 5931 does not have a widely recognized special status in number theory. It serves as an example of a non-prime, non-square-free integer and can appear in various educational contexts to illustrate factorization, divisibility, and base conversions. The number can also function as a label or identifier in cataloging, coding, or temporal references, depending on the context, though such uses are not inherent to the number itself.