984

984 is an even composite number composed of three prime numbers multiplied together.

What does the number 984 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

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

Prime factorization of 984:

2³ × 3 × 41

(2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 984 from the Numbermatics database.

Names of 984

Cardinal: 984 can be written as Nine hundred eighty-four.

Scientific notation

Scientific notation: 9.84 × 10²

Factors of 984

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 46

Divisors of 984

Number of divisors d(n): 16
Complete list of divisors:
1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984
Sum of all divisors σ(n): 2520
Sum of proper divisors (its aliquot sum) s(n): 1536
984 is an abundant number, because the sum of its proper divisors (1536) is greater than itself. Its abundance is 552

Bases of 984

Binary: 1111011000₂
Hexadecimal: 0x3D8
Base-36: RC

Squares and roots of 984

984 squared (984²) is 968256
984 cubed (984³) is 952763904
The square root of 984 is 31.3687742827
The cube root of 984 is 9.9463796665

Scales and comparisons

How big is 984?

984 seconds is equal to 16 minutes, 24 seconds.
To count from 1 to 984 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 984 cubic inches would be around 0.8 feet tall.

Recreational maths with 984

984 backwards is 489
The number of decimal digits it has is: 3
The sum of 984's digits is 21
More coming soon!

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The information we have on file for 984 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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