# 7000

## 7,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 7000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

7000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 7000:

### 23 × 53 × 7

(2 × 2 × 2 × 5 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 7000 from the Numbermatics database.

### Names of 7000

• Cardinal: 7000 can be written as Seven thousand.

### Scientific notation

• Scientific notation: 7 × 103

### Factors of 7000

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

### Divisors of 7000

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 18720
• Sum of proper divisors (its aliquot sum) s(n): 11720
• 7000 is an abundant number, because the sum of its proper divisors (11720) is greater than itself. Its abundance is 4720

### Bases of 7000

• Binary: 11011010110002
• Base-36: 5EG

### Squares and roots of 7000

• 7000 squared (70002) is 49000000
• 7000 cubed (70003) is 343000000000
• The square root of 7000 is 83.6660026535
• The cube root of 7000 is 19.1293118277

### Scales and comparisons

How big is 7000?
• 7,000 seconds is equal to 1 hour, 56 minutes, 40 seconds.
• To count from 1 to 7,000 would take you about fifty-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 7000 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7000

• 7000 backwards is 0007
• 7000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 7000's digits is 7
• More coming soon!