# 8971

## 8,971 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 8971 look like?

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

8971 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 8971:

### 8971

See below for interesting mathematical facts about the number 8971 from the Numbermatics database.

### Names of 8971

• Cardinal: 8971 can be written as Eight thousand, nine hundred seventy-one.

### Scientific notation

• Scientific notation: 8.971 × 103

### Factors of 8971

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 8971

### Divisors of 8971

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 8972
• Sum of proper divisors (its aliquot sum) s(n): 1
• 8971 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 8970

### Bases of 8971

• Binary: 100011000010112
• Base-36: 6X7

### Squares and roots of 8971

• 8971 squared (89712) is 80478841
• 8971 cubed (89713) is 721975682611
• The square root of 8971 is 94.7153630621
• The cube root of 8971 is 20.7784725497

### Scales and comparisons

How big is 8971?
• 8,971 seconds is equal to 2 hours, 29 minutes, 31 seconds.
• To count from 1 to 8,971 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 8971 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8971

• 8971 backwards is 1798
• The number of decimal digits it has is: 4
• The sum of 8971's digits is 25
• More coming soon!