# 5200

## 5,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 5200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

5200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 5200:

### 24 × 52 × 13

(2 × 2 × 2 × 2 × 5 × 5 × 13)

See below for interesting mathematical facts about the number 5200 from the Numbermatics database.

### Names of 5200

• Cardinal: 5200 can be written as Five thousand, two hundred.

### Scientific notation

• Scientific notation: 5.2 × 103

### Factors of 5200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 20

### Divisors of 5200

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 13454
• Sum of proper divisors (its aliquot sum) s(n): 8254
• 5200 is an abundant number, because the sum of its proper divisors (8254) is greater than itself. Its abundance is 3054

### Bases of 5200

• Binary: 10100010100002
• Base-36: 40G

### Squares and roots of 5200

• 5200 squared (52002) is 27040000
• 5200 cubed (52003) is 140608000000
• The square root of 5200 is 72.1110255093
• The cube root of 5200 is 17.3247821069

### Scales and comparisons

How big is 5200?
• 5,200 seconds is equal to 1 hour, 26 minutes, 40 seconds.
• To count from 1 to 5,200 would take you about twenty-six 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 5200 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5200

• 5200 backwards is 0025
• The number of decimal digits it has is: 4
• The sum of 5200's digits is 7
• More coming soon!