4128

4128 is a natural number that follows 4127 and precedes 4129. It is an even, composite number with a prime factorization of 2^5 × 3 × 43.

As a result, 4128 has 24 positive divisors. Its divisors derive from multiplying 2^a by 3^b by 43^c with a ≤ 5, b ≤ 1, and c ≤ 1. The sum of its divisors is 11088, which makes 4128 an abundant number since the sum of proper divisors (11088 − 4128 = 6960) exceeds the number itself. The number is divisible by 24 and by 32, reflecting its inclusion of a high power of 2 and the other prime factors.

In common representations, 4128 is written as 0x1020 in hexadecimal, 10040 in octal, and binary 1000000100000.

Beyond pure number theory, 4128 might be used to denote a year in the common era (4128 CE), which would place it in the fifth millennium of the Gregorian calendar. As a date, it would be far in the future relative to present record-keeping.

Summary: 4128 is a composite, abundant number with prime factors 2, 3, and 43, 24 divisors, and standard base representations in binary, octal, and hexadecimal. It is also a nominal year in the context of calendar notation.