103248

103,248 is an even composite number composed of three prime numbers multiplied together.

What does the number 103248 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

103248 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 103248:

24 × 33 × 239

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 239)

See below for interesting mathematical facts about the number 103248 from the Numbermatics database.

Names of 103248

• Cardinal: 103248 can be written as One hundred three thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 1.03248 × 105

Factors of 103248

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 244

Divisors of 103248

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 297600
• Sum of proper divisors (its aliquot sum) s(n): 194352
• 103248 is an abundant number, because the sum of its proper divisors (194352) is greater than itself. Its abundance is 91104

Bases of 103248

• Binary: 110010011010100002
• Base-36: 27O0

Squares and roots of 103248

• 103248 squared (1032482) is 10660149504
• 103248 cubed (1032483) is 1100639115988992
• The square root of 103248 is 321.3222681359
• The cube root of 103248 is 46.9130730677

Scales and comparisons

How big is 103248?
• 103,248 seconds is equal to 1 day, 4 hours, 40 minutes, 48 seconds.
• To count from 1 to 103,248 would take you about four 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 103248 cubic inches would be around 3.9 feet tall.

Recreational maths with 103248

• 103248 backwards is 842301
• 103248 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 103248's digits is 18
• More coming soon!

MLA style:
"Number 103248 - Facts about the integer". Numbermatics.com. 2022. Web. 27 January 2022.

APA style:
Numbermatics. (2022). Number 103248 - Facts about the integer. Retrieved 27 January 2022, from https://numbermatics.com/n/103248/

Chicago style:
Numbermatics. 2022. "Number 103248 - Facts about the integer". https://numbermatics.com/n/103248/

The information we have on file for 103248 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 103248, math, Factors of 103248, curriculum, school, college, exams, university, Prime factorization of 103248, STEM, science, technology, engineering, physics, economics, calculator, one hundred three thousand, two hundred forty-eight.

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