# 8200

## 8,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 8200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

8200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 8200:

### 23 × 52 × 41

(2 × 2 × 2 × 5 × 5 × 41)

See below for interesting mathematical facts about the number 8200 from the Numbermatics database.

### Names of 8200

• Cardinal: 8200 can be written as Eight thousand, two hundred.

### Scientific notation

• Scientific notation: 8.2 × 103

### Factors of 8200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 48

### Divisors of 8200

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 19530
• Sum of proper divisors (its aliquot sum) s(n): 11330
• 8200 is an abundant number, because the sum of its proper divisors (11330) is greater than itself. Its abundance is 3130

### Bases of 8200

• Binary: 100000000010002
• Base-36: 6BS

### Squares and roots of 8200

• 8200 squared (82002) is 67240000
• 8200 cubed (82003) is 551368000000
• The square root of 8200 is 90.5538513813
• The cube root of 8200 is 20.1652967523

### Scales and comparisons

How big is 8200?
• 8,200 seconds is equal to 2 hours, 16 minutes, 40 seconds.
• To count from 1 to 8,200 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 8200 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8200

• 8200 backwards is 0028
• 8200 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8200's digits is 10
• More coming soon!