4952

4952 is the natural number that follows 4951 and precedes 4953. It is an even composite number with the prime factorization 2^3 × 619, where 619 is a prime. Its positive divisors are 1, 2, 4, 8, 619, 1238, 2476, and 4952.

The sum of all divisors is σ(4952) = 9300, which yields a sum of proper divisors of 4348 (i.e., 9300 − 4952). Since 4348 is less than 4952, 4952 is a deficient number. The Euler totient of 4952 is φ(4952) = φ(2^3) × φ(619) = 4 × 618 = 2472.

In common numeral systems, 4952 is written as 0x1358 in hexadecimal, 1001101011000 in binary, and 0o11530 in octal. The decimal digits sum to 20, giving a digital root of 2.

As a concrete integer, 4952 participates in standard arithmetic and number theory properties associated with its factorization. Its evenness and factorization into a small power of two and a larger prime influence its divisors and related arithmetic functions. Beyond pure mathematics, the sequence position of 4952 is simply that of the natural numbers, and it appears in any context where a specific, non-prime, even integer is needed.