# 900

## 900 is an even composite number composed of three prime numbers multiplied together.

What does the number 900 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 27 divisors.

900 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

## Prime factorization of 900:

### 22 × 32 × 52

(2 × 2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 900 from the Numbermatics database.

### Names of 900

• Cardinal: 900 can be written as Nine hundred.

### Scientific notation

• Scientific notation: 9 × 102

### Factors of 900

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 900

• Number of divisors d(n): 27
• Complete list of divisors:
• Sum of all divisors σ(n): 2821
• Sum of proper divisors (its aliquot sum) s(n): 1921
• 900 is an abundant number, because the sum of its proper divisors (1921) is greater than itself. Its abundance is 1021

### Bases of 900

• Binary: 11100001002
• Base-36: P0

### Squares and roots of 900

• 900 squared (9002) is 810000
• 900 cubed (9003) is 729000000
• 900 is a perfect square number. Its square root is 30
• The cube root of 900 is 9.6548938461

### Scales and comparisons

How big is 900?
• 900 seconds is equal to 15 minutes.
• To count from 1 to 900 would take you about seven 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 900 cubic inches would be around 0.8 feet tall.

### Recreational maths with 900

• 900 backwards is 009
• 900 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 900's digits is 9
• More coming soon!