# 5888

## 5,888 is an even composite number composed of two prime numbers multiplied together.

What does the number 5888 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

5888 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 5888:

### 28 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23)

See below for interesting mathematical facts about the number 5888 from the Numbermatics database.

### Names of 5888

• Cardinal: 5888 can be written as Five thousand, eight hundred eighty-eight.

### Scientific notation

• Scientific notation: 5.888 × 103

### Factors of 5888

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 25

### Divisors of 5888

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 12264
• Sum of proper divisors (its aliquot sum) s(n): 6376
• 5888 is an abundant number, because the sum of its proper divisors (6376) is greater than itself. Its abundance is 488

### Bases of 5888

• Binary: 10111000000002
• Base-36: 4JK

### Squares and roots of 5888

• 5888 squared (58882) is 34668544
• 5888 cubed (58883) is 204128387072
• The square root of 5888 is 76.7333043731
• The cube root of 5888 is 18.0574297417

### Scales and comparisons

How big is 5888?
• 5,888 seconds is equal to 1 hour, 38 minutes, 8 seconds.
• To count from 1 to 5,888 would take you about thirty-eight 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 5888 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5888

• 5888 backwards is 8885
• The number of decimal digits it has is: 4
• The sum of 5888's digits is 29
• More coming soon!