5991

5991 is a natural number that comes after 5990 and before 5992. In mathematics, it is classified as a composite number.

Its prime factorization is 5991 = 3 × 1997, where 1997 is a prime number. Consequently, the positive divisors of 5991 are 1, 3, 1997, and 5991. The sum of its digits is 5 + 9 + 9 + 1 = 24, giving a digital root of 6, which confirms that 5991 is divisible by 3 but not by 9.

In different base representations, 5991 equals 1011101100111 in binary, 13547 in octal, and 0x1767 in hexadecimal. These representations illustrate how the same value appears across numeral systems commonly used in computing and programming.

In modular arithmetic, 5991 is congruent to 3 modulo 4 (5991 ≡ 3 mod 4) and congruent to 0 modulo 3 (5991 ≡ 0 mod 3). It is not divisible by small primes such as 2, 5, or 7.

From a number-theoretic perspective, 5991 serves as an example of a composite number with a small prime factor (3) and a relatively large prime factor (1997). Its structure highlights how composite numbers can have a simple factorization while still possessing large prime components.

aside from its role as a numeric value, 5991 has no widely recognized mathematical constants or notable theorems uniquely associated with it.