4,001 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 4001 look like?

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

4001 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 4001:


See below for interesting mathematical facts about the number 4001 from the Numbermatics database.

Names of 4001

  • Cardinal: 4001 can be written as Four thousand and one.

Scientific notation

  • Scientific notation: 4.001 × 103

Factors of 4001

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 4001

Divisors of 4001

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4002
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 4001 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4000

Bases of 4001

  • Binary: 1111101000012
  • Hexadecimal: 0xFA1
  • Base-36: 335

Squares and roots of 4001

  • 4001 squared (40012) is 16008001
  • 4001 cubed (40013) is 64048012001
  • The square root of 4001 is 63.2534584035
  • The cube root of 4001 is 15.8753332437

Scales and comparisons

How big is 4001?
  • 4,001 seconds is equal to 1 hour, 6 minutes, 41 seconds.
  • To count from 1 to 4,001 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 4001 cubic inches would be around 1.3 feet tall.

Recreational maths with 4001

  • 4001 backwards is 1004
  • 4001 is a twin prime! Its twin is 4003
  • The number of decimal digits it has is: 4
  • The sum of 4001's digits is 5
  • More coming soon!

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 4001 - Facts about the integer". Numbermatics.com. 2022. Web. 30 November 2022.

APA style:
Numbermatics. (2022). Number 4001 - Facts about the integer. Retrieved 30 November 2022, from https://numbermatics.com/n/4001/

Chicago style:
Numbermatics. 2022. "Number 4001 - Facts about the integer". https://numbermatics.com/n/4001/

The information we have on file for 4001 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!

Keywords: Divisors of 4001, math, Factors of 4001, curriculum, school, college, exams, university, Prime factorization of 4001, STEM, science, technology, engineering, physics, economics, calculator, four thousand and one.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.