3297

3297 is a natural number that follows 3296 and precedes 3298. It is used in various mathematical and numerical contexts and has several notable representations in different numeral systems.

In mathematics, 3297 factors as 3 × 7 × 157, making it a square-free composite number. It has eight positive divisors: 1, 3, 7, 21, 157, 471, 1099, and 3297. The sum of all its divisors is 5056, which means the sum of its proper divisors is 1759; since 1759 is less than 3297, the number is deficient. It is also a Harshad (Niven) number in base 10, because the sum of its digits is 3 + 2 + 9 + 7 = 21, and 3297 ÷ 21 = 157.

Representations of 3297 include Roman numerals, binary, hexadecimal, and octal. In Roman numerals it is written as MMMCCXCVII. In binary it is 110011100001; in hexadecimal it is CE1, and in octal it is 6341 (often written as 0o6341).

In calendar terms, the year 3297 CE would be far in the future and, like any year divisible by 4, is not a leap year unless other calendar rules apply. There are no widely noted historical events or widely recognized mathematical constants specifically associated with the number 3297, beyond its intrinsic arithmetic properties.