3294

3294 is an integer that is even and composite. Its prime factorization is 2 × 3^3 × 61, which shows it has 16 positive divisors: 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294.

In base representations, 3294 equals 0x0CDE in hexadecimal, and in binary it is 110011011110. In octal it is 6336. In Roman numerals it is MMMCCXCIV. The decimal digits sum to 18, so the digital root is 9; the number is divisible by 9 and by 27, but not by 5, 7, or 11.

Mathematically, 3294 is a non-prime, highly composite factorization with factors including 2, 3, and 61. Its divisor structure is determined by the exponents in its prime factorization, yielding 2 × 4 × 2 = 16 divisors. The number’s properties make it a representative example of how small primes combine to form larger composite numbers.

There is no widely recognized historical or cultural significance attached to 3294. It is primarily of interest in number theory and arithmetic contexts, such as discussions of divisibility, factorization, and numeral-base representations.