5012

5012 is a natural number that follows 5011 and precedes 5013. It is an even and composite integer in base-10 arithmetic.

In prime factorization terms, 5012 = 2^2 × 7 × 179. Consequently, its positive divisors are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, and 5012, making a total of 12 divisors. The sum of the proper divisors (excluding 5012) is 5068, which is greater than 5012. This places 5012 among abundant numbers. Its abundancy ratio, sigma(5012)/5012, equals 10080/5012 ≈ 2.01, confirming its status as abundant rather than perfect or deficient.

In different numeral systems, 5012 is represented as follows: binary 1001110010100, hexadecimal 0x1394, and octal 11624. These representations illustrate how the same integer appears across common bases.

As a concrete example in number theory, 5012 demonstrates properties of even, composite numbers with multiple prime factors, including a relatively high sum of divisors compared to the number itself. It is not a prime or a semiprime, and it serves as a typical case study for abundance in the set of positive integers.