# 4200

## 4,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 4200 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

4200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 4200:

### 23 × 3 × 52 × 7

(2 × 2 × 2 × 3 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 4200 from the Numbermatics database.

### Names of 4200

• Cardinal: 4200 can be written as Four thousand, two hundred.

### Scientific notation

• Scientific notation: 4.2 × 103

### Factors of 4200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 17

### Divisors of 4200

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 14880
• Sum of proper divisors (its aliquot sum) s(n): 10680
• 4200 is an abundant number, because the sum of its proper divisors (10680) is greater than itself. Its abundance is 6480

### Bases of 4200

• Binary: 10000011010002
• Base-36: 38O

### Squares and roots of 4200

• 4200 squared (42002) is 17640000
• 4200 cubed (42003) is 74088000000
• The square root of 4200 is 64.8074069841
• The cube root of 4200 is 16.1342864603

### Scales and comparisons

How big is 4200?
• 4,200 seconds is equal to 10 minutes.
• To count from 1 to 4,200 would take you about ten 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 4200 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4200

• 4200 backwards is 0024
• 4200 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4200's digits is 6
• More coming soon!