4662

4662 is an even integer that lies between 4661 and 4663. Its prime factorization is 2 × 3^2 × 7 × 37, which shows the number is not squarefree due to the 3^2 term. It has 24 positive divisors, and the sum of all divisors is 11,856, giving a sum of proper divisors of 7,194. Since the sum of proper divisors exceeds the number, 4662 is classified as an abundant number.

In decimal form, the digits sum to 18, indicating divisibility by 9; the number is also divisible by 2,making it divisible by 18. Indeed, 4662 = 18 × 259, with 259 further factoring as 7 × 37. This combination of factors underlines its composite and highly composite structure relative to its size.

Representations in other bases include 4662 = 11066 in base 8 and 4662 = 1236 in base 16 (hexadecimal). These alternate representations are sometimes used to illustrate properties of divisibility and factorization in different numeral systems.

Applications and relevance: 4662 is commonly cited in discussions of divisor function properties, abundant numbers, and Harshad (Niven) numbers in base 10, due to its digit sum divisibility and divisor sum characteristics. As a specific numeric example, it helps illustrate how a number can be composite with multiple small prime factors and a relatively large divisor sum.