# 5313

## 5,313 is an odd composite number composed of four prime numbers multiplied together.

What does the number 5313 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

5313 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 5313:

### 3 × 7 × 11 × 23

See below for interesting mathematical facts about the number 5313 from the Numbermatics database.

### Names of 5313

• Cardinal: 5313 can be written as Five thousand, three hundred thirteen.

### Scientific notation

• Scientific notation: 5.313 × 103

### Factors of 5313

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 44

### Divisors of 5313

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 9216
• Sum of proper divisors (its aliquot sum) s(n): 3903
• 5313 is a deficient number, because the sum of its proper divisors (3903) is less than itself. Its deficiency is 1410

### Bases of 5313

• Binary: 10100110000012
• Base-36: 43L

### Squares and roots of 5313

• 5313 squared (53132) is 28227969
• 5313 cubed (53133) is 149975199297
• The square root of 5313 is 72.8903285765
• The cube root of 5313 is 17.4493775143

### Scales and comparisons

How big is 5313?
• 5,313 seconds is equal to 1 hour, 28 minutes, 33 seconds.
• To count from 1 to 5,313 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 5313 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5313

• 5313 backwards is 3135
• The number of decimal digits it has is: 4
• The sum of 5313's digits is 12
• More coming soon!