2968

2,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 2968 look like?

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

2968 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 2968:

2³ × 7 × 53

(2 × 2 × 2 × 7 × 53)

See below for interesting mathematical facts about the number 2968 from the Numbermatics database.

Names of 2968

Cardinal: 2968 can be written as Two thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 2.968 × 10³

Factors of 2968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 62

Divisors of 2968

Number of divisors d(n): 16
Complete list of divisors:
1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968
Sum of all divisors σ(n): 6480
Sum of proper divisors (its aliquot sum) s(n): 3512
2968 is an abundant number, because the sum of its proper divisors (3512) is greater than itself. Its abundance is 544

Bases of 2968

Binary: 101110011000₂
Hexadecimal: 0xB98
Base-36: 2AG

Squares and roots of 2968

2968 squared (2968²) is 8809024
2968 cubed (2968³) is 26145183232
The square root of 2968 is 54.4793538875
The cube root of 2968 is 14.3710323013

Scales and comparisons

How big is 2968?

2,968 seconds is equal to 49 minutes, 28 seconds.
To count from 1 to 2,968 would take you about forty-nine 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 2968 cubic inches would be around 1.2 feet tall.

Recreational maths with 2968

2968 backwards is 8692
The number of decimal digits it has is: 4
The sum of 2968's digits is 25
More coming soon!

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The information we have on file for 2968 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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