4965

4965 is a natural number that follows 4964 and precedes 4966. It is an odd composite number with straightforward prime factorization.

Its prime factorization is 3 × 5 × 331, making it square-free. Consequently, the eight positive divisors of 4965 are 1, 3, 5, 15, 331, 993, 1655, and 4965.

In arithmetic terms, several standard functions can be computed for 4965. Euler's totient function gives φ(4965) = 2640. The sum of its positive divisors is σ(4965) = 7968. The number is divisible by 3 and by 5, since the sum of its digits is 24 and it ends in 5. Its digital root is 6.

In mathematical contexts, 4965 is often cited as a representative example of a product of three distinct primes and as a case study for divisor functions, factorization, and related calculations. Outside pure mathematics, the sequence 4965 can be used as an identifier or catalog number in various, non-mathematical contexts, but there is no widely recognized significance uniquely attached to this specific number.