966 is an even composite number composed of four prime numbers multiplied together.

What does the number 966 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

966 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 966:

2 × 3 × 7 × 23

See below for interesting mathematical facts about the number 966 from the Numbermatics database.

Names of 966

  • Cardinal: 966 can be written as Nine hundred sixty-six.

Scientific notation

  • Scientific notation: 9.66 × 102

Factors of 966

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 35

Divisors of 966

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2304
  • Sum of proper divisors (its aliquot sum) s(n): 1338
  • 966 is an abundant number, because the sum of its proper divisors (1338) is greater than itself. Its abundance is 372

Bases of 966

  • Binary: 11110001102
  • Hexadecimal: 0x3C6
  • Base-36: QU

Squares and roots of 966

  • 966 squared (9662) is 933156
  • 966 cubed (9663) is 901428696
  • The square root of 966 is 31.0805405357
  • The cube root of 966 is 9.8853573965

Scales and comparisons

How big is 966?
  • 966 seconds is equal to 16 minutes, 6 seconds.
  • To count from 1 to 966 would take you about 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 966 cubic inches would be around 0.8 feet tall.

Recreational maths with 966

  • 966 backwards is 669
  • 966 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 966's digits is 21
  • More coming soon!

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"Number 966 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.

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Numbermatics. (2024). Number 966 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/966/

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The information we have on file for 966 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 966, math, Factors of 966, curriculum, school, college, exams, university, Prime factorization of 966, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-six.

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