6546

6546 is a natural number that follows 6545 and precedes 6547. In decimal notation, it is written as 6546.

It is an even and composite number. Its prime factorization is 2 × 3 × 1091, with 1091 being a prime. The positive divisors are 1, 2, 3, 6, 1091, 2182, 3273, and 6546, giving the number a total of eight divisors. Euler’s totient function yields φ(6546) = 2180, since the prime factors are pairwise distinct. The sum of its divisors is σ(6546) = 13104.

In other bases, its representations are as follows: in binary it is 1100110010010_2, in hexadecimal it is 0x1992, and in octal it is 14622_8. The digital root of 6546 is 3, since the sum of its digits is 6 + 5 + 4 + 6 = 21, and 2 + 1 = 3.

From a mathematical perspective, 6546 is divisible by both 2 and 3, and therefore by 6. It is not a prime and it is not a power of a single prime. Its factorization highlights the structure of its divisors and its place within basic number theory.

The number 6546 does not have widely known historical or cultural associations. It is primarily of interest in arithmetic and introductory number theory as an example of a composite number with a distinct prime factor, a modest divisor count, and straightforward base conversions.