2,263 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2263 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

2263 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 2263:

31 × 73

See below for interesting mathematical facts about the number 2263 from the Numbermatics database.

Names of 2263

  • Cardinal: 2263 can be written as Two thousand, two hundred sixty-three.

Scientific notation

  • Scientific notation: 2.263 × 103

Factors of 2263

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 104

Divisors of 2263

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2368
  • Sum of proper divisors (its aliquot sum) s(n): 105
  • 2263 is a deficient number, because the sum of its proper divisors (105) is less than itself. Its deficiency is 2158

Bases of 2263

  • Binary: 1000110101112
  • Hexadecimal: 0x8D7
  • Base-36: 1QV

Squares and roots of 2263

  • 2263 squared (22632) is 5121169
  • 2263 cubed (22633) is 11589205447
  • The square root of 2263 is 47.5709995691
  • The cube root of 2263 is 13.1288952913

Scales and comparisons

How big is 2263?
  • 2,263 seconds is equal to 37 minutes, 43 seconds.
  • To count from 1 to 2,263 would take you about thirty-seven 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 2263 cubic inches would be around 1.1 feet tall.

Recreational maths with 2263

  • 2263 backwards is 3622
  • The number of decimal digits it has is: 4
  • The sum of 2263's digits is 13
  • More coming soon!

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"Number 2263 - Facts about the integer". Numbermatics.com. 2023. Web. 4 October 2023.

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Numbermatics. (2023). Number 2263 - Facts about the integer. Retrieved 4 October 2023, from https://numbermatics.com/n/2263/

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The information we have on file for 2263 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 2263, math, Factors of 2263, curriculum, school, college, exams, university, Prime factorization of 2263, STEM, science, technology, engineering, physics, economics, calculator, two thousand, two hundred sixty-three.

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