29326

29326 is a natural number that sits between 29325 and 29327. It is even and composite, with several mathematical properties that can be derived from its prime factorization.

Its prime factorization is 29326 = 2 × 11 × 31 × 43. This makes it square-free (no repeated prime factors) and gives it 16 positive divisors in total. Because it is divisible by 11, it is also divisible by 11 as a factor of the product above.

In terms of representations, 29326 cannot be written as a sum of two squares, since it has prime factors congruent to 3 mod 4 (11, 31, and 43) with odd exponents. However, it can be expressed as a sum of three squares; for example, 29326 = 171^2 + 9^2 + 2^2. This aligns with Legendre’s three-square theorem, which allows such a representation when the number is not of the form 4^a(8b+7).

In binary notation, 29326 is 111001010001110₂. It remains a simple example of a composite, square-free integer with a modest factorization and several standard number-theoretic properties that are of interest in basic arithmetic and combinatorial contexts.

Outside pure mathematics, 29326 occasionally appears as a numeric designation in various catalogs or datasets, but there is no single widely recognized entity universally associated with this specific number.