# 2800

## 2,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 2800 look like?

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

2800 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 2800:

### 24 × 52 × 7

(2 × 2 × 2 × 2 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 2800 from the Numbermatics database.

### Names of 2800

• Cardinal: 2800 can be written as Two thousand, eight hundred.

### Scientific notation

• Scientific notation: 2.8 × 103

### Factors of 2800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 14

### Divisors of 2800

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 7688
• Sum of proper divisors (its aliquot sum) s(n): 4888
• 2800 is an abundant number, because the sum of its proper divisors (4888) is greater than itself. Its abundance is 2088

### Bases of 2800

• Binary: 1010111100002
• Base-36: 25S

### Squares and roots of 2800

• 2800 squared (28002) is 7840000
• 2800 cubed (28003) is 21952000000
• The square root of 2800 is 52.9150262211
• The cube root of 2800 is 14.0945974641

### Scales and comparisons

How big is 2800?
• 2,800 seconds is equal to 46 minutes, 40 seconds.
• To count from 1 to 2,800 would take you about forty-six 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 2800 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2800

• 2800 backwards is 0082
• 2800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2800's digits is 10
• More coming soon!