5068

5068 is a natural number that follows 5067 and precedes 5069. It is even and composite, with several notable arithmetic properties explored in number theory.

Its prime factorization is 2^2 × 7 × 181, so the divisors of 5068 include 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, and 5068. The sum of all divisors is 10,192, which yields a sum of proper divisors equal to 5,124. Because this sum exceeds the number itself, 5068 is an abundant number. The square root of 5068 is between 71 and 72, so it is not a perfect square.

In decimal form, the digits of 5068 add up to 19, giving a digital root of 1. The number is divisible by 4 (since the last two digits form 68, which is divisible by 4) but not by 3 or 9, and it is not a Harshad number (5068 is not divisible by the sum of its digits).

Beyond pure mathematics, 5068 may appear in other domains as a designation, such as catalog numbers, model identifiers, or postal codes, but there is no single universally recognized meaning attached to the sequence 5068 without specific context.

In summary, 5068 is an even, abundant composite number with a straightforward prime factorization of 2^2 × 7 × 181, and it serves as a representative example of how arithmetic properties shape the classification of integers.