# 8191

## 8,191 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 8191 look like?

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

8191 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 8191:

### 8191

See below for interesting mathematical facts about the number 8191 from the Numbermatics database.

### Names of 8191

• Cardinal: 8191 can be written as Eight thousand, one hundred ninety-one.

### Scientific notation

• Scientific notation: 8.191 × 103

### Factors of 8191

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 8191

### Divisors of 8191

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 8192
• Sum of proper divisors (its aliquot sum) s(n): 1
• 8191 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 8190

### Bases of 8191

• Binary: 11111111111112
• Hexadecimal: 0x1FFF
• Base-36: 6BJ

### Squares and roots of 8191

• 8191 squared (81912) is 67092481
• 8191 cubed (81913) is 549554511871
• The square root of 8191 is 90.5041435515
• The cube root of 8191 is 20.1579165039

### Scales and comparisons

How big is 8191?
• 8,191 seconds is equal to 2 hours, 16 minutes, 31 seconds.
• To count from 1 to 8,191 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 8191 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8191

• 8191 backwards is 1918
• The number of decimal digits it has is: 4
• The sum of 8191's digits is 19
• More coming soon!

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The information we have on file for 8191 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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