# 5832

## 5,832 is an even composite number composed of two prime numbers multiplied together.

What does the number 5832 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 28 divisors.

5832 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 5832:

### 23 × 36

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 5832 from the Numbermatics database.

### Names of 5832

• Cardinal: 5832 can be written as Five thousand, eight hundred thirty-two.

### Scientific notation

• Scientific notation: 5.832 × 103

### Factors of 5832

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 5

### Divisors of 5832

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 16395
• Sum of proper divisors (its aliquot sum) s(n): 10563
• 5832 is an abundant number, because the sum of its proper divisors (10563) is greater than itself. Its abundance is 4731

### Bases of 5832

• Binary: 10110110010002
• Base-36: 4I0

### Squares and roots of 5832

• 5832 squared (58322) is 34012224
• 5832 cubed (58323) is 198359290368
• The square root of 5832 is 76.3675323681
• 5832 is a perfect cube number. Its cube root is 18
• Being both a perfect square and a perfect cube, 5832 is also a perfect sixth number.

### Scales and comparisons

How big is 5832?
• 5,832 seconds is equal to 1 hour, 37 minutes, 12 seconds.
• To count from 1 to 5,832 would take you about thirty-seven 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 5832 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5832

• 5832 backwards is 2385
• 5832 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5832's digits is 18
• More coming soon!