# 588

## 588 is an even composite number composed of three prime numbers multiplied together.

What does the number 588 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

588 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 588:

### 22 × 3 × 72

(2 × 2 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 588 from the Numbermatics database.

### Names of 588

• Cardinal: 588 can be written as Five hundred eighty-eight.

### Scientific notation

• Scientific notation: 5.88 × 102

### Factors of 588

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 12

### Divisors of 588

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 1596
• Sum of proper divisors (its aliquot sum) s(n): 1008
• 588 is an abundant number, because the sum of its proper divisors (1008) is greater than itself. Its abundance is 420

### Bases of 588

• Binary: 10010011002
• Base-36: GC

### Squares and roots of 588

• 588 squared (5882) is 345744
• 588 cubed (5883) is 203297472
• The square root of 588 is 24.2487113059
• The cube root of 588 is 8.3777187281

### Scales and comparisons

How big is 588?
• 588 seconds is equal to 9 minutes, 48 seconds.
• To count from 1 to 588 would take you about four minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 588 cubic inches would be around 0.7 feet tall.

### Recreational maths with 588

• 588 backwards is 885
• 588 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 588's digits is 21
• More coming soon!