# 5634

## 5,634 is an even composite number composed of three prime numbers multiplied together.

What does the number 5634 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

5634 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 5634:

### 2 × 32 × 313

(2 × 3 × 3 × 313)

See below for interesting mathematical facts about the number 5634 from the Numbermatics database.

### Names of 5634

• Cardinal: 5634 can be written as Five thousand, six hundred thirty-four.

### Scientific notation

• Scientific notation: 5.634 × 103

### Factors of 5634

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 318

### Divisors of 5634

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 12246
• Sum of proper divisors (its aliquot sum) s(n): 6612
• 5634 is an abundant number, because the sum of its proper divisors (6612) is greater than itself. Its abundance is 978

### Bases of 5634

• Binary: 10110000000102
• Base-36: 4CI

### Squares and roots of 5634

• 5634 squared (56342) is 31741956
• 5634 cubed (56343) is 178834180104
• The square root of 5634 is 75.0599760193
• The cube root of 5634 is 17.7939465171

### Scales and comparisons

How big is 5634?
• 5,634 seconds is equal to 1 hour, 33 minutes, 54 seconds.
• To count from 1 to 5,634 would take you about thirty-three 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 5634 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5634

• 5634 backwards is 4365
• 5634 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5634's digits is 18
• More coming soon!