6404

6,404 is an even composite number composed of two prime numbers multiplied together.

What does the number 6404 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

6404 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

Prime factorization of 6404:

22 × 1601

(2 × 2 × 1601)

See below for interesting mathematical facts about the number 6404 from the Numbermatics database.


Names of 6404

  • Cardinal: 6404 can be written as Six thousand, four hundred four.

Scientific notation

  • Scientific notation: 6.404 × 103

Factors of 6404

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 1603

Divisors of 6404

  • Number of divisors d(n): 6
  • Complete list of divisors:
  • Sum of all divisors σ(n): 11214
  • Sum of proper divisors (its aliquot sum) s(n): 4810
  • 6404 is a deficient number, because the sum of its proper divisors (4810) is less than itself. Its deficiency is 1594

Bases of 6404

  • Binary: 11001000001002
  • Hexadecimal: 0x1904
  • Base-36: 4XW

Squares and roots of 6404

  • 6404 squared (64042) is 41011216
  • 6404 cubed (64043) is 262635827264
  • The square root of 6404 is 80.0249960949
  • The cube root of 6404 is 18.5702225197

Scales and comparisons

How big is 6404?
  • 6,404 seconds is equal to 1 hour, 46 minutes, 44 seconds.
  • To count from 1 to 6,404 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 6404 cubic inches would be around 1.5 feet tall.

Recreational maths with 6404

  • 6404 backwards is 4046
  • The number of decimal digits it has is: 4
  • The sum of 6404's digits is 14
  • More coming soon!

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"Number 6404 - Facts about the integer". Numbermatics.com. 2021. Web. 16 May 2021.

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The information we have on file for 6404 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!

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