# 4013

## 4,013 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 4013 look like?

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

4013 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4013:

### 4013

See below for interesting mathematical facts about the number 4013 from the Numbermatics database.

### Names of 4013

• Cardinal: 4013 can be written as Four thousand and thirteen.

### Scientific notation

• Scientific notation: 4.013 × 103

### Factors of 4013

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4013

### Divisors of 4013

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4014
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4013 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4012

### Bases of 4013

• Binary: 1111101011012
• Base-36: 33H

### Squares and roots of 4013

• 4013 squared (40132) is 16104169
• 4013 cubed (40133) is 64626030197
• The square root of 4013 is 63.3482438589
• The cube root of 4013 is 15.8911887681

### Scales and comparisons

How big is 4013?
• 4,013 seconds is equal to 1 hour, 6 minutes, 53 seconds.
• To count from 1 to 4,013 would take you about 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 4013 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4013

• 4013 backwards is 3104
• The number of decimal digits it has is: 4
• The sum of 4013's digits is 8
• More coming soon!

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The information we have on file for 4013 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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