5831

5831 is a natural number that follows 5830 and precedes 5832. In arithmetic, it is an odd composite number with several distinct divisors.

The prime factorization of 5831 is 7^3 × 17, meaning it is the product of 343 and 17. Consequently, its positive divisors are 1, 7, 17, 49, 119, 343, 833, and 5831. Its divisor structure reflects the combination of the powers of 7 and the factor 17.

In base 10, 5831 is a Harshad (or Niven) number, since it is divisible by the sum of its digits. The sum of digits is 5 + 8 + 3 + 1 = 17, and 5831 ÷ 17 = 343.

5831 is a deficient number, meaning the sum of its proper divisors (1 + 7 + 17 + 49 + 119 + 343 + 833 = 1369) is less than the number itself. The value 1369 equals 37^2, but this is independent of 5831’s status as deficient.

In summary, 5831 is a composite, Harshad number with prime factorization 7^3 × 17 and eight divisors. It serves as an example in number theory of a multi-divisor composite that is also divisible by the sum of its digits.