10,048 is an even composite number composed of two prime numbers multiplied together.

What does the number 10048 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

10048 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

Prime factorization of 10048:

26 × 157

(2 × 2 × 2 × 2 × 2 × 2 × 157)

See below for interesting mathematical facts about the number 10048 from the Numbermatics database.

Names of 10048

  • Cardinal: 10048 can be written as Ten thousand and forty-eight.

Scientific notation

  • Scientific notation: 1.0048 × 104

Factors of 10048

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 159

Divisors of 10048

  • Number of divisors d(n): 14
  • Complete list of divisors:
  • Sum of all divisors σ(n): 20066
  • Sum of proper divisors (its aliquot sum) s(n): 10018
  • 10048 is a deficient number, because the sum of its proper divisors (10018) is less than itself. Its deficiency is 30

Bases of 10048

  • Binary: 100111010000002
  • Hexadecimal: 0x2740
  • Base-36: 7R4

Squares and roots of 10048

  • 10048 squared (100482) is 100962304
  • 10048 cubed (100483) is 1014469230592
  • The square root of 10048 is 100.2397126891
  • The cube root of 10048 is 21.5787628485

Scales and comparisons

How big is 10048?
  • 10,048 seconds is equal to 2 hours, 47 minutes, 28 seconds.
  • To count from 1 to 10,048 would take you about two hours.

    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 10048 cubic inches would be around 1.8 feet tall.

Recreational maths with 10048

  • 10048 backwards is 84001
  • The number of decimal digits it has is: 5
  • The sum of 10048's digits is 13
  • More coming soon!

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The information we have on file for 10048 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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