7056

7056 is a positive integer. In number theory, it is notable for being a perfect square, as 7056 = 84^2. Its prime factorization is 2^4 · 3^2 · 7^2, which demonstrates its square nature and explains why it has a relatively large number of divisors: (4+1)·(2+1)·(2+1) = 45 divisors in total.

In various numeral systems, 7056 has the following representations: in decimal it is 7056; in hexadecimal it is 0x1B90; in octal it is 15620_8; and in binary it is 1101110010000_2.

As a multiple of squares, 7056 can be expressed in several ways that reflect its factorization, such as 9 × 784 and 16 × 441, since 9 = 3^2, 16 = 2^4, and 441 = 21^2. Because it equals 84^2, 7056 also represents the area of a square with side length 84 units (in the same unit system).

Additional properties include that 7056 is divisible by 9 and by 16, and by 49, reflecting its factorization components. It is a Harshad number in base 10, since the sum of its digits is 7 + 0 + 5 + 6 = 18, and 7056 ÷ 18 = 392.

Overall, 7056 is primarily notable in mathematics for being a square with a rich divisor structure and a straightforward prime factorization.