2008

2,008 is an even composite number composed of two prime numbers multiplied together.

What does the number 2008 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

2008 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 2008:

2³ × 251

(2 × 2 × 2 × 251)

See below for interesting mathematical facts about the number 2008 from the Numbermatics database.

Names of 2008

Cardinal: 2008 can be written as Two thousand and eight.

Scientific notation

Scientific notation: 2.008 × 10³

Factors of 2008

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 4
Sum of prime factors: 253

Divisors of 2008

Number of divisors d(n): 8
Complete list of divisors:
1 2 4 8 251 502 1004 2008
Sum of all divisors σ(n): 3780
Sum of proper divisors (its aliquot sum) s(n): 1772
2008 is a deficient number, because the sum of its proper divisors (1772) is less than itself. Its deficiency is 236

Bases of 2008

Binary: 11111011000₂
Hexadecimal: 0x7D8
Base-36: 1JS

Squares and roots of 2008

2008 squared (2008²) is 4032064
2008 cubed (2008³) is 8096384512
The square root of 2008 is 44.8107130049
The cube root of 2008 is 12.6159870973

Scales and comparisons

How big is 2008?

2,008 seconds is equal to 33 minutes, 28 seconds.
To count from 1 to 2,008 would take you about thirty-three 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 2008 cubic inches would be around 1.1 feet tall.

Recreational maths with 2008

2008 backwards is 8002
The number of decimal digits it has is: 4
The sum of 2008's digits is 10
More coming soon!

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The information we have on file for 2008 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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