5829

5829 is the natural number that follows 5828 and precedes 5830. In mathematics it is classified as an odd composite number.

Its prime factorization is 3 × 29 × 67, which means 5829 has eight positive divisors: 1, 3, 29, 67, 87 (3×29), 201 (3×67), 1943 (29×67), and 5829 itself. The digit sum of 5829 is 24, so it is divisible by 3 but not by 9, indicating it is not a multiple of 9. Consequently, 5829 is not a Harshad number in base 10.

In common numeral systems, 5829 can be represented as follows: in binary it is 1011011000101, in hexadecimal it is 0x16C5, and in octal it is 13305. The number is congruent to 1 modulo 4 and is divisible by 3, reflecting its factorization.

Beyond its role as a simple integer, 5829 may appear in various cataloging or labeling contexts as a designation or index number. It does not correspond to a well-known constant, widely cited theorem, or notable numerical sequence in standard references. As with many natural numbers, its significance is primarily intrinsic to its arithmetic properties and its place within number theory.