# 4400

## 4,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 4400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

4400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 4400:

### 24 × 52 × 11

(2 × 2 × 2 × 2 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 4400 from the Numbermatics database.

### Names of 4400

• Cardinal: 4400 can be written as Four thousand, four hundred.

### Scientific notation

• Scientific notation: 4.4 × 103

### Factors of 4400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 18

### Divisors of 4400

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 11532
• Sum of proper divisors (its aliquot sum) s(n): 7132
• 4400 is an abundant number, because the sum of its proper divisors (7132) is greater than itself. Its abundance is 2732

### Bases of 4400

• Binary: 10001001100002
• Base-36: 3E8

### Squares and roots of 4400

• 4400 squared (44002) is 19360000
• 4400 cubed (44003) is 85184000000
• The square root of 4400 is 66.3324958071
• The cube root of 4400 is 16.3864254121

### Scales and comparisons

How big is 4400?
• 4,400 seconds is equal to 1 hour, 13 minutes, 20 seconds.
• To count from 1 to 4,400 would take you about thirteen 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 4400 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4400

• 4400 backwards is 0044
• 4400 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4400's digits is 8
• More coming soon!