6601

6601 is a natural number that follows 6600 and precedes 6602. In mathematics it is notable as a composite, square-free number that factors into three distinct primes.

The prime factorization of 6601 is 7 × 23 × 41. Consequently, it has eight positive divisors: 1, 7, 23, 41, 161 (7×23), 287 (7×41), 943 (23×41), and 6601. The sum of all divisors is σ(6601) = (7+1)(23+1)(41+1) = 8 × 24 × 42 = 8064, so the sum of proper divisors is 8064 − 6601 = 1463. Because this sum is less than 6601, 6601 is a deficient number.

In other representations, 6601 is odd and congruent to 1 modulo 3 (since the digit sum is 13). Its binary representation is 1100111001001, and its hexadecimal representation is 0x19C9.

As a product of three distinct primes, 6601 is square-free and has exactly eight divisors. It serves as an example of a composite number that is not a semiprime and not a higher-order prime-power, highlighting common divisor-structure properties in elementary number theory.

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