6606

6606 is a positive integer that sits between 6605 and 6607. It is an even number and has several notable arithmetical properties.

Its prime factorization is 6606 = 2 × 3^2 × 367. The divisors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, and 6606. The sum of all divisors (including 6606) is 14352, which means the sum of proper divisors is 7746. Since 7746 > 6606, 6606 is an abundant number, with an abundance of 1140.

6606 has a digit sum of 6 + 6 + 0 + 6 = 18, making it a Harshad (Niven) number in base 10, as 6606 is divisible by 18. It is divisible by 9 as well (6606 ÷ 9 = 734) and by 18 (6606 ÷ 18 = 367), reflecting its factorization.

In common numeral representations, 6606 equals 0x19CE in hexadecimal and 1100111001110 in binary.

Beyond its plain numerical properties, 6606 is primarily notable as an example in discussions of divisibility, divisor sums, and abundant numbers. It does not correspond to a widely recognized constant or named object in mathematics, but it serves as a concrete instance of several standard arithmetic concepts.