3822

3822 is the natural number that follows 3821 and precedes 3823. It is an even, composite integer. Its prime factorization is 2 × 3 × 7^2 × 13, and hence it has 24 positive divisors. The sum of all divisors equals 9,576, giving a sum of proper divisors of 5,754. It is divisible by 6 and by 49, and it is not a prime, a square, or a cube, nor is it a triangular number.

In common representations, 3822 is written as 3822 in decimal. In hexadecimal it is 0xEEE, and in binary it is 111011101110. In Roman numerals it can be written as MMMDCCCXXII, which corresponds to 3,822 in decimal.

From a number-theory perspective, 3822 is an example of a highly composite-looking number arising from a product of multiple small primes. Its factorization shows how the exponents of the prime factors determine the total number of divisors and the behavior under various modular conditions. Because it is not prime and has multiple small prime factors, 3822 participates in typical divisibility tests and can be used in arithmetic exercises or demonstrations of divisor-related concepts.