29729

29729 is the natural number that comes after 29,728 and before 29,730. In mathematics, it is a composite, squarefree integer with prime factorization 29729 = 7 × 31 × 137. Its divisors are 1, 7, 31, 137, 217, 959, 4247, 29729.

The number is odd and is not divisible by 2, 3, or 5. The sum of its digits is 29, so it is not divisible by 3. It is congruent to 1 modulo 4 and 1 modulo 8.

In base representations, 29729 equals 111010000100001 in binary and 0x7421 in hexadecimal.

From a number-theoretic perspective, because it contains primes congruent to 3 mod 4 (7 and 31) with odd exponents, 29729 cannot be expressed as a sum of two squares.

There is no widely recognized special significance for 29729 in standard mathematical sequences, but as a product of three distinct primes it serves as a representative example of a square-free composite number. In other contexts, the number may appear as a numeric identifier in catalogs, codes, or datasets, though such uses are context-dependent and not unique to the number itself.