5830

5830 is a natural number that sits between 5829 and 5831. It is even and composite. Its prime factorization is 2 × 5 × 11 × 53, which shows that it is square-free (no prime factor is repeated). Consequently, its positive divisors are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, and 5830, for a total of 16 divisors. The sum of its divisors is 11664, which equals 108 squared, a property of interest in divisor sums.

In arithmetic terms, 5830 is divisible by 2 and by 5, and hence by 10. It is congruent to 1 modulo 3 and to 2 modulo 4. The digit sum is 16, which does not make it a Harshad number in base 10, since 5830 is not divisible by 16.

In a broader context, 5830 can appear as a numeric identifier in various systems, such as catalog numbers, product codes, or postal-style four-digit designations. Like many integers, it has a straightforward factor structure that makes it useful in examples about divisibility, factorization, and basic number theory. While 5830 itself does not carry a widely recognized mathematical special case, its composition from four distinct primes illustrates common properties of square-free integers.

See also: other four-digit numbers, divisor theory, and prime factorization.