# 5635

## 5,635 is an odd composite number composed of three prime numbers multiplied together.

What does the number 5635 look like?

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

5635 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 5635:

### 5 × 72 × 23

(5 × 7 × 7 × 23)

See below for interesting mathematical facts about the number 5635 from the Numbermatics database.

### Names of 5635

• Cardinal: 5635 can be written as Five thousand, six hundred thirty-five.

### Scientific notation

• Scientific notation: 5.635 × 103

### Factors of 5635

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 35

### Divisors of 5635

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 8208
• Sum of proper divisors (its aliquot sum) s(n): 2573
• 5635 is a deficient number, because the sum of its proper divisors (2573) is less than itself. Its deficiency is 3062

### Bases of 5635

• Binary: 10110000000112
• Base-36: 4CJ

### Squares and roots of 5635

• 5635 squared (56352) is 31753225
• 5635 cubed (56353) is 178929422875
• The square root of 5635 is 75.0666370635
• The cube root of 5635 is 17.7949992265

### Scales and comparisons

How big is 5635?
• 5,635 seconds is equal to 1 hour, 33 minutes, 55 seconds.
• To count from 1 to 5,635 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 5635 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5635

• 5635 backwards is 5365
• The number of decimal digits it has is: 4
• The sum of 5635's digits is 19
• More coming soon!