1022

1,022 is an even composite number composed of three prime numbers multiplied together.

What does the number 1022 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1022 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 1022:

2 × 7 × 73

See below for interesting mathematical facts about the number 1022 from the Numbermatics database.


Names of 1022

  • Cardinal: 1022 can be written as One thousand and twenty-two.

Scientific notation

  • Scientific notation: 1.022 × 103

Factors of 1022

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 82

Divisors of 1022

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1776
  • Sum of proper divisors (its aliquot sum) s(n): 754
  • 1022 is a deficient number, because the sum of its proper divisors (754) is less than itself. Its deficiency is 268

Bases of 1022

  • Binary: 11111111102
  • Hexadecimal: 0x3FE
  • Base-36: SE

Squares and roots of 1022

  • 1022 squared (10222) is 1044484
  • 1022 cubed (10223) is 1067462648
  • The square root of 1022 is 31.9687347263
  • The cube root of 1022 is 10.0728020335

Scales and comparisons

How big is 1022?
  • 1,022 seconds is equal to 17 minutes, 2 seconds.
  • To count from 1 to 1,022 would take you about seventeen 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 1022 cubic inches would be around 0.8 feet tall.

Recreational maths with 1022

  • 1022 backwards is 2201
  • The number of decimal digits it has is: 4
  • The sum of 1022's digits is 5
  • More coming soon!

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"Number 1022 - Facts about the integer". Numbermatics.com. 2024. Web. 28 March 2024.

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Numbermatics. (2024). Number 1022 - Facts about the integer. Retrieved 28 March 2024, from https://numbermatics.com/n/1022/

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Numbermatics. 2024. "Number 1022 - Facts about the integer". https://numbermatics.com/n/1022/

The information we have on file for 1022 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 1022, math, Factors of 1022, curriculum, school, college, exams, university, Prime factorization of 1022, STEM, science, technology, engineering, physics, economics, calculator, one thousand and twenty-two.

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