5232

5232 is the natural number that follows 5231 and precedes 5233. It is an even, composite number with several arithmetic properties of note.

Its prime factorization is 2^4 × 3 × 109, meaning 5232 has 20 positive divisors. The full set of divisors can be generated from the factors 2^a, 3^b, and 109^c with a in {0,1,2,3,4}, b in {0,1}, and c in {0,1}. Examples include 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, and 5232.

The sum of all divisors is 13,640, which makes the sum of proper divisors 8,408. Since this is greater than 5,232, 5232 is classified as an abundant number. It is also divisible by several small integers: for example, 5232 ÷ 3 = 1744, 5232 ÷ 4 = 1,308, and 5232 ÷ 8 = 654.

In various base representations, 5232 appears as 1010001110000 in binary, 12160 in octal, and 0x147 in hexadecimal. Its decimal digit sum is 12, indicating divisibility by 3, and it is divisible by 8 as indicated by its last three digits.

Overall, 5232 is a multi-faceted integer notable for its factorization, abundance, and multiple base representations.