2,801 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 2801 look like?

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

2801 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 2801:


See below for interesting mathematical facts about the number 2801 from the Numbermatics database.

Names of 2801

  • Cardinal: 2801 can be written as Two thousand, eight hundred one.

Scientific notation

  • Scientific notation: 2.801 × 103

Factors of 2801

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 2801

Divisors of 2801

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2802
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 2801 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2800

Bases of 2801

  • Binary: 1010111100012
  • Hexadecimal: 0xAF1
  • Base-36: 25T

Squares and roots of 2801

  • 2801 squared (28012) is 7845601
  • 2801 cubed (28013) is 21975528401
  • The square root of 2801 is 52.9244744895
  • The cube root of 2801 is 14.0962751927

Scales and comparisons

How big is 2801?
  • 2,801 seconds is equal to 46 minutes, 41 seconds.
  • To count from 1 to 2,801 would take you about forty-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 2801 cubic inches would be around 1.2 feet tall.

Recreational maths with 2801

  • 2801 backwards is 1082
  • 2801 is a twin prime! Its twin is 2803
  • The number of decimal digits it has is: 4
  • The sum of 2801's digits is 11
  • More coming soon!

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"Number 2801 - Facts about the integer". Numbermatics.com. 2023. Web. 28 September 2023.

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Numbermatics. (2023). Number 2801 - Facts about the integer. Retrieved 28 September 2023, from https://numbermatics.com/n/2801/

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Numbermatics. 2023. "Number 2801 - Facts about the integer". https://numbermatics.com/n/2801/

The information we have on file for 2801 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 2801, math, Factors of 2801, curriculum, school, college, exams, university, Prime factorization of 2801, STEM, science, technology, engineering, physics, economics, calculator, two thousand, eight hundred one.

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