# 1800

## 1,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 1800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

1800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1800:

### 23 × 32 × 52

(2 × 2 × 2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 1800 from the Numbermatics database.

### Names of 1800

• Cardinal: 1800 can be written as One thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.8 × 103

### Factors of 1800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

### Divisors of 1800

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 6045
• Sum of proper divisors (its aliquot sum) s(n): 4245
• 1800 is an abundant number, because the sum of its proper divisors (4245) is greater than itself. Its abundance is 2445

### Bases of 1800

• Binary: 111000010002
• Base-36: 1E0

### Squares and roots of 1800

• 1800 squared (18002) is 3240000
• 1800 cubed (18003) is 5832000000
• The square root of 1800 is 42.4264068711
• The cube root of 1800 is 12.1644039911

### Scales and comparisons

How big is 1800?
• 1,800 seconds is equal to 30 minutes.
• To count from 1 to 1,800 would take you about thirty 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 1800 cubic inches would be around 1 feet tall.

### Recreational maths with 1800

• 1800 backwards is 0081
• 1800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1800's digits is 9
• More coming soon!