588

588 is a natural number that follows 587 and precedes 589. It has the prime factorization 588 = 2^2 × 3 × 7^2, making it a composite number. This factorization yields 18 positive divisors, and the sum of all divisors is 1596, so the sum of proper divisors is 1008. Therefore, 588 is an abundant number with abundance 420. It can also be written as 3 × 14^2.

The number is divisible by the sum of its decimal digits, since 5 + 8 + 8 = 21 and 588 ÷ 21 = 28. This makes 588 a Harshad (Niven) number in base 10. It is also divisible by 4, 6, and 12, among other divisors, reflecting its rich factor structure.

In various numeral systems, 588 appears as follows: binary 1001001100_2; octal 1114_8; hexadecimal 0x24C; and in Roman numerals it is DLXXXVIII.

A compact view of its divisors includes 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. Its divisibility properties and factorization place it among common examples of even, abundant numbers in elementary number theory.