# 7001

## 7,001 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 7001 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

7001 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 7001:

### 7001

See below for interesting mathematical facts about the number 7001 from the Numbermatics database.

### Names of 7001

• Cardinal: 7001 can be written as Seven thousand and one.

### Scientific notation

• Scientific notation: 7.001 × 103

### Factors of 7001

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 7001

### Divisors of 7001

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 7002
• Sum of proper divisors (its aliquot sum) s(n): 1
• 7001 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 7000

### Bases of 7001

• Binary: 11011010110012
• Base-36: 5EH

### Squares and roots of 7001

• 7001 squared (70012) is 49014001
• 7001 cubed (70013) is 343147021001
• The square root of 7001 is 83.6719785831
• The cube root of 7001 is 19.1302227039

### Scales and comparisons

How big is 7001?
• 7,001 seconds is equal to 56 minutes, 41 seconds.
• To count from 1 to 7,001 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 7001 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7001

• 7001 backwards is 1007
• The number of decimal digits it has is: 4
• The sum of 7001's digits is 8
• More coming soon!