# 5300

## 5,300 is an even composite number composed of three prime numbers multiplied together.

What does the number 5300 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

5300 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 5300:

### 22 × 52 × 53

(2 × 2 × 5 × 5 × 53)

See below for interesting mathematical facts about the number 5300 from the Numbermatics database.

### Names of 5300

• Cardinal: 5300 can be written as Five thousand, three hundred.

### Scientific notation

• Scientific notation: 5.3 × 103

### Factors of 5300

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 60

### Divisors of 5300

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 11718
• Sum of proper divisors (its aliquot sum) s(n): 6418
• 5300 is an abundant number, because the sum of its proper divisors (6418) is greater than itself. Its abundance is 1118

### Bases of 5300

• Binary: 10100101101002
• Base-36: 438

### Squares and roots of 5300

• 5300 squared (53002) is 28090000
• 5300 cubed (53003) is 148877000000
• The square root of 5300 is 72.8010988929
• The cube root of 5300 is 17.4351340127

### Scales and comparisons

How big is 5300?
• 5,300 seconds is equal to 1 hour, 28 minutes, 20 seconds.
• To count from 1 to 5,300 would take you about twenty-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 5300 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5300

• 5300 backwards is 0035
• The number of decimal digits it has is: 4
• The sum of 5300's digits is 8
• More coming soon!