3186

3186 is a natural number that lies between 3185 and 3187. It is an even composite number, and its prime factorization is 2 × 3^3 × 59. Because of this factorization, 3186 is divisible by 2, 3, 6, 9, 18, 27, 59 and other divisors derived from these primes. The sum of its decimal digits is 3 + 1 + 8 + 6 = 18, and since 18 divides 3186, the number is also a Harshad (Niven) number in base 10.

In various numeral systems, 3186 has the representations 110001110010 in binary, 6162 in octal, and C72 in hexadecimal. In Roman numerals, it is written as MMMCLXXXVI. The value is between 3000 and 4000, and its square root is approximately 56.4, confirming that it is not a perfect square.

Beyond basic arithmetic, 3186 is also notable for its divisibility properties. It is divisible by 9 and by 27, reflecting the presence of the factor 3^3 in its prime decomposition. As a decimal integer, 3186 serves as an example of a modestly large, evenly divisible composite number often used in teaching basic number theory concepts such as factorization, base conversions, and digit-sum properties. In calendar terms, 3186 could denote a year in the Gregorian proleptic calendar, though any historical or future context would depend on the specific era.