4610

4610 is the natural number that follows 4609 and precedes 4611. It is an even, composite, and square-free number, with a prime factorization of 2 × 5 × 461. The factors are all distinct, which confirms its square-free status.

The positive divisors of 4610 are 1, 2, 5, 10, 461, 922, 2305, and 4610. Consequently, the number of divisors is 8. The sum of all divisors is 8316, which makes the sum of its proper divisors 3306. Since 3306 is less than 4610, 4610 is a deficient number. The Euler totient function value is φ(4610) = 1840, reflecting the count of integers up to 4610 that are relatively prime to it.

In mathematical contexts, 4610 is primarily noted for its factorization properties, divisor structure, and related arithmetic functions (such as its totient and deficiency status). Outside pure mathematics, the digits in 4610 can appear as a designation in cataloging, serials, or model numbers, though no single, universally recognized non-mathematical meaning is attached to the number.

In summary, 4610 is a small, square-free, deficient composite number with prime factors 2, 5, and 461, eight divisors, and a totient of 1840. It serves as a typical example of a multi-factor, non-prime integer in number theory discussions.