# 10000

## 10,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 10000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 25 divisors.

10000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-five divisors.

## Prime factorization of 10000:

### 24 × 54

(2 × 2 × 2 × 2 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 10000 from the Numbermatics database.

### Names of 10000

• Cardinal: 10000 can be written as Ten thousand.

### Scientific notation

• Scientific notation: 1 × 104

### Factors of 10000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 7

### Divisors of 10000

• Number of divisors d(n): 25
• Complete list of divisors:
• Sum of all divisors σ(n): 24211
• Sum of proper divisors (its aliquot sum) s(n): 14211
• 10000 is an abundant number, because the sum of its proper divisors (14211) is greater than itself. Its abundance is 4211

### Bases of 10000

• Binary: 100111000100002
• Base-36: 7PS

### Squares and roots of 10000

• 10000 squared (100002) is 100000000
• 10000 cubed (100003) is 1000000000000
• 10000 is a perfect square number. Its square root is 100
• The cube root of 10000 is 21.5443469003

### Scales and comparisons

How big is 10000?
• 10,000 seconds is equal to 2 hours, 46 minutes, 40 seconds.
• To count from 1 to 10,000 would take you about two hours.

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 10000 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10000

• 10000 backwards is 00001
• 10000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10000's digits is 1
• More coming soon!