82132

82132 is a natural number that follows 82131 and precedes 82133. It is even and composite. Its prime factorization is 2^2 × 20533, where 20533 is a prime number. Consequently, 82132 has exactly six positive divisors: 1, 2, 4, 20533, 41066, and 82132.

In various representations, 82132 is written as decimal 82132, binary 10100000011010100, octal 240324, and hexadecimal 0x140D4. This makes it easy to work with in different computer and mathematical contexts.

Modular and digit properties: 82132 is congruent to 4 modulo 8 and to 0 modulo 4. The sum of its decimal digits is 16, which gives a digital root of 7. The number is not divisible by 3 or 5. Its factorization also implies it is not a prime, a perfect square, or a perfect cube.

Number-theoretic note: since 20533 ≡ 1 (mod 4) and 82132 = 4 × 20533, 82132 is expressible as a sum of two squares, a property that follows from the sum-of-two-squares theorem for numbers of the form 2^k × m with m ≡ 1 (mod 4). This representation exists though specific square components are not required to be listed here.

Overall, 82132 is a modestly structured composite number with straightforward divisibility and multiple standard representations.