# 4088

## 4,088 is an even composite number composed of three prime numbers multiplied together.

What does the number 4088 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

4088 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 4088:

### 23 × 7 × 73

(2 × 2 × 2 × 7 × 73)

See below for interesting mathematical facts about the number 4088 from the Numbermatics database.

### Names of 4088

• Cardinal: 4088 can be written as Four thousand and eighty-eight.

### Scientific notation

• Scientific notation: 4.088 × 103

### Factors of 4088

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 82

### Divisors of 4088

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 8880
• Sum of proper divisors (its aliquot sum) s(n): 4792
• 4088 is an abundant number, because the sum of its proper divisors (4792) is greater than itself. Its abundance is 704

### Bases of 4088

• Binary: 1111111110002
• Base-36: 35K

### Squares and roots of 4088

• 4088 squared (40882) is 16711744
• 4088 cubed (40883) is 68317609472
• The square root of 4088 is 63.9374694525
• The cube root of 4088 is 15.9895765443

### Scales and comparisons

How big is 4088?
• 4,088 seconds is equal to 1 hour, 8 minutes, 8 seconds.
• To count from 1 to 4,088 would take you about 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 4088 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4088

• 4088 backwards is 8804
• The number of decimal digits it has is: 4
• The sum of 4088's digits is 20
• More coming soon!