2824

2824 is a positive integer. In mathematics, it is even and composite. Its prime factorization is 2^3 × 353, since 2824 equals 8 times 353 and 353 is a prime number. The number lies between 53^2 = 2809 and 54^2 = 2916, so it is not a perfect square.

2824 is divisible by 2, 4, and 8, reflecting its factorization, but it is not divisible by 3 or 5. The sum of its digits is 16, so it is not divisible by 3 or 9, and it is not a Harshad number because 16 does not divide 2824.

In common numeral systems, 2824 is represented in binary as 101100001000 and in hexadecimal as 0x0B08. In Roman numerals, it is written as MMDCCCXXIV, corresponding to 2000 + 800 + 20 + 4.

As a year, if used within the Gregorian calendar, 2824 would be a leap year because it is divisible by 4 and not by 100. This follows the standard rule for leap years in the Gregorian system.

Beyond these arithmetic and representation facts, there are no widely noted mathematical constants or widely recognized historical events specifically associated with the number 2824. It is primarily of interest as a distinct composite integer with the stated factorization and representations.