93984

93,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 93984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

93984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 93984:

2⁵ × 3 × 11 × 89

(2 × 2 × 2 × 2 × 2 × 3 × 11 × 89)

See below for interesting mathematical facts about the number 93984 from the Numbermatics database.

Names of 93984

Cardinal: 93984 can be written as Ninety-three thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 9.3984 × 10⁴

Factors of 93984

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 105

Divisors of 93984

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 132 176 178 264 267 352 356 528 534 712 979 1056 1068 1424 1958 2136 2848 2937 3916 4272 5874 7832 8544 11748 15664 23496 31328 46992 93984
Sum of all divisors σ(n): 272160
Sum of proper divisors (its aliquot sum) s(n): 178176
93984 is an abundant number, because the sum of its proper divisors (178176) is greater than itself. Its abundance is 84192

Bases of 93984

Binary: 10110111100100000₂
Hexadecimal: 0x16F20
Base-36: 20IO

Squares and roots of 93984

93984 squared (93984²) is 8832992256
93984 cubed (93984³) is 830159944187904
The square root of 93984 is 306.5681001017
The cube root of 93984 is 45.4657795263

Scales and comparisons

How big is 93984?

93,984 seconds is equal to 1 day, 2 hours, 6 minutes, 24 seconds.
To count from 1 to 93,984 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 93984 cubic inches would be around 3.8 feet tall.

Recreational maths with 93984

93984 backwards is 48939
93984 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 93984's digits is 33
More coming soon!

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The information we have on file for 93984 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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