4396

4396 is a natural number that follows 4395 and precedes 4397. It is an even, composite number with prime factorization 2^2 × 7 × 157.

The divisors of 4396 include 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, and 2198, with 4396 itself also a divisor. The sum of all positive divisors is 8848, so the sum of its proper divisors is 4452. This makes 4396 an abundant number, exceeding itself by 56 (the abundance is 56).

In common numerical representations, 4396 is written as 4396 in decimal, 0x112C in hexadecimal, and 1000100101100 in binary. The number is not a prime, not a square or cube, and does not have simple representations as small polygonal numbers, though it participates in general discussions of divisibility and divisor sums due to its factorization a^2 × b × c.

Beyond its role as a specific integer, 4396 serves as an example in number theory of an even, highly composite, and abundant number. As with many integers, it also finds occasional use in cataloging, coding, and numbering systems where a fixed identifier is needed.