6084

6084 is a positive integer that is notable for being a perfect square. It equals 78 squared, since 78 × 78 = 6084. Its prime factorization is 2^2 × 3^2 × 13^2, which confirms that 6084 = (2 × 3 × 13)^2 = 78^2. As a consequence, 6084 has 27 positive divisors, derived from the exponents (2, 2, 2) via (2+1)(2+1)(2+1).

In decimal form, the digits of 6084 sum to 6 + 0 + 8 + 4 = 18, and the number is divisible by 18 (6084 ÷ 18 = 338), making it a Harshad (Niven) number in base 10. The presence of squared prime factors also makes 6084 divisible by 4, 9, and 36 (for example, 6084 = 36 × 169). In other bases, 6084 has distinct representations: in binary it is 1011111000100 and in hexadecimal it is 17C4.

Because 6084 = 78^2, it serves as an example of a four-digit square in mathematical discussions. Its structure as a product of squared primes also makes it a straightforward case in factorization and divisor–count analyses.