# 4091

## 4,091 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 4091 look like?

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

4091 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4091:

### 4091

See below for interesting mathematical facts about the number 4091 from the Numbermatics database.

### Names of 4091

• Cardinal: 4091 can be written as Four thousand and ninety-one.

### Scientific notation

• Scientific notation: 4.091 × 103

### Factors of 4091

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4091

### Divisors of 4091

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4092
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4091 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4090

### Bases of 4091

• Binary: 1111111110112
• Base-36: 35N

### Squares and roots of 4091

• 4091 squared (40912) is 16736281
• 4091 cubed (40913) is 68468125571
• The square root of 4091 is 63.9609255717
• The cube root of 4091 is 15.9934869325

### Scales and comparisons

How big is 4091?
• 4,091 seconds is equal to 1 hour, 8 minutes, 11 seconds.
• To count from 1 to 4,091 would take you about eight 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 4091 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4091

• 4091 backwards is 1904
• 4091 is a twin prime! Its twin is 4093
• The number of decimal digits it has is: 4
• The sum of 4091's digits is 14
• More coming soon!

MLA style:
"Number 4091 - Facts about the integer". Numbermatics.com. 2023. Web. 3 February 2023.

APA style:
Numbermatics. (2023). Number 4091 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/4091/

Chicago style:
Numbermatics. 2023. "Number 4091 - Facts about the integer". https://numbermatics.com/n/4091/

The information we have on file for 4091 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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