19971

19,971 is an odd composite number composed of three prime numbers multiplied together.

What does the number 19971 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

19971 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 19971:

3² × 7 × 317

(3 × 3 × 7 × 317)

See below for interesting mathematical facts about the number 19971 from the Numbermatics database.

Names of 19971

Cardinal: 19971 can be written as Nineteen thousand, nine hundred seventy-one.

Scientific notation

Scientific notation: 1.9971 × 10⁴

Factors of 19971

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 4
Sum of prime factors: 327

Divisors of 19971

Number of divisors d(n): 12
Complete list of divisors:
1 3 7 9 21 63 317 951 2219 2853 6657 19971
Sum of all divisors σ(n): 33072
Sum of proper divisors (its aliquot sum) s(n): 13101
19971 is a deficient number, because the sum of its proper divisors (13101) is less than itself. Its deficiency is 6870

Bases of 19971

Binary: 100111000000011₂
Hexadecimal: 0x4E03
Base-36: FER

Squares and roots of 19971

19971 squared (19971²) is 398840841
19971 cubed (19971³) is 7965250435611
The square root of 19971 is 141.3187885597
The cube root of 19971 is 27.1310501345

Scales and comparisons

How big is 19971?

19,971 seconds is equal to 5 hours, 32 minutes, 51 seconds.
To count from 1 to 19,971 would take you about five 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 19971 cubic inches would be around 2.3 feet tall.

Recreational maths with 19971

19971 backwards is 17991
The number of decimal digits it has is: 5
The sum of 19971's digits is 27
More coming soon!

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The information we have on file for 19971 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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