3136

3136 is a positive integer that follows 3135 and precedes 3137. It is notable for being a perfect square: 3136 = 56^2. The prime factorization is 2^6 × 7^2, equivalently (2^3 × 7)^2, which shows it is the square of 56. As a result, the number has 21 positive divisors.

In base representations, 3136 can be expressed as 110001000000 in binary and as 0xC40 in hexadecimal. In decimal, it remains 3136. The fact that its prime factors come with even exponents places it among squares that also satisfy the two-squares property from elementary number theory, though nontrivial representations as a sum of two nonzero squares are not readily apparent.

Mathematically, 3136 is the square of the two-digit integer 56, and 56 itself is the product of consecutive integers 7 and 8. This connection highlights how certain square numbers arise from simple factor pairs, illustrating a straightforward example of squaring in arithmetic.

As a numeric entry, 3136 is primarily noted for its status as a perfect square and for its compact factorization into powers of 2 and 7. There are no widely recognized historical events or constants uniquely associated with the number 3136.