1,681 is an odd composite number. It is composed of a single prime number multiplied by itself.

What does the number 1681 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 3 divisors.

1681 is an odd composite number. It has a total of three divisors.

Prime factorization of 1681:


(41 × 41)

See below for interesting mathematical facts about the number 1681 from the Numbermatics database.

Names of 1681

  • Cardinal: 1681 can be written as One thousand, six hundred eighty-one.

Scientific notation

  • Scientific notation: 1.681 × 103

Factors of 1681

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 41

Divisors of 1681

  • Number of divisors d(n): 3
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1723
  • Sum of proper divisors (its aliquot sum) s(n): 42
  • 1681 is a deficient number, because the sum of its proper divisors (42) is less than itself. Its deficiency is 1639

Bases of 1681

  • Binary: 110100100012
  • Hexadecimal: 0x691
  • Base-36: 1AP

Squares and roots of 1681

  • 1681 squared (16812) is 2825761
  • 1681 cubed (16813) is 4750104241
  • 1681 is a perfect square number. Its square root is 41
  • The cube root of 1681 is 11.8902021369

Scales and comparisons

How big is 1681?
  • 1,681 seconds is equal to 28 minutes, 1 second.
  • To count from 1 to 1,681 would take you about twenty-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 1681 cubic inches would be around 1 feet tall.

Recreational maths with 1681

  • 1681 backwards is 1861
  • The number of decimal digits it has is: 4
  • The sum of 1681's digits is 16
  • More coming soon!

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"Number 1681 - Facts about the integer". Numbermatics.com. 2023. Web. 4 October 2023.

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Numbermatics. (2023). Number 1681 - Facts about the integer. Retrieved 4 October 2023, from https://numbermatics.com/n/1681/

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The information we have on file for 1681 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 1681, math, Factors of 1681, curriculum, school, college, exams, university, Prime factorization of 1681, STEM, science, technology, engineering, physics, economics, calculator, one thousand, six hundred eighty-one.

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