# 8800

## 8,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 8800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

8800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 8800:

### 25 × 52 × 11

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 8800 from the Numbermatics database.

### Names of 8800

• Cardinal: 8800 can be written as Eight thousand, eight hundred.

### Scientific notation

• Scientific notation: 8.8 × 103

### Factors of 8800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 18

### Divisors of 8800

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 23436
• Sum of proper divisors (its aliquot sum) s(n): 14636
• 8800 is an abundant number, because the sum of its proper divisors (14636) is greater than itself. Its abundance is 5836

### Bases of 8800

• Binary: 100010011000002
• Base-36: 6SG

### Squares and roots of 8800

• 8800 squared (88002) is 77440000
• 8800 cubed (88003) is 681472000000
• The square root of 8800 is 93.8083151965
• The cube root of 8800 is 20.6456023091

### Scales and comparisons

How big is 8800?
• 8,800 seconds is equal to 2 hours, 26 minutes, 40 seconds.
• To count from 1 to 8,800 would take you about two hours.

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 8800 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8800

• 8800 backwards is 0088
• 8800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8800's digits is 16
• More coming soon!