3913

3913 is a natural number that follows 3912 and precedes 3914. It is a composite number, with prime factorization 7 × 13 × 43. As a product of three distinct primes, it is square-free and has eight positive divisors: 1, 7, 13, 43, 91, 301, 559, and 3913. Its Euler totient is φ(3913) = 3024.

In base representations, 3913 can be written as 111101001001 in binary, which corresponds to 0xF49 in hexadecimal and 7511 in octal.

In modular arithmetic and basic properties, 3913 is odd and congruent to 1 modulo 4 and modulo 8. The sum of its digits is 16, so 3913 is not a Harshad number in base 10. It is not a decimal palindrome either.

Context and significance: 3913 serves as an example of a square-free composite number, being the product of three distinct odd primes. Its divisor structure—eight divisors in total—illustrates how the number of divisors relates to the prime factorization pattern (2×2×2 for three distinct primes). The number also has typical representations in common bases (binary, octal, hexadecimal) that facilitate cross-base arithmetic examples in number theory discussions.