2013

2,013 is an odd composite number composed of three prime numbers multiplied together.

What does the number 2013 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2013 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 2013:

3 × 11 × 61

See below for interesting mathematical facts about the number 2013 from the Numbermatics database.

Names of 2013

Cardinal: 2013 can be written as Two thousand and thirteen.

Scientific notation

Scientific notation: 2.013 × 10³

Factors of 2013

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 3
Sum of prime factors: 75

Divisors of 2013

Number of divisors d(n): 8
Complete list of divisors:
1 3 11 33 61 183 671 2013
Sum of all divisors σ(n): 2976
Sum of proper divisors (its aliquot sum) s(n): 963
2013 is a deficient number, because the sum of its proper divisors (963) is less than itself. Its deficiency is 1050

Bases of 2013

Binary: 11111011101₂
Hexadecimal: 0x7DD
Base-36: 1JX

Squares and roots of 2013

2013 squared (2013²) is 4052169
2013 cubed (2013³) is 8157016197
The square root of 2013 is 44.8664685483
The cube root of 2013 is 12.6264498547

Scales and comparisons

How big is 2013?

2,013 seconds is equal to 33 minutes, 33 seconds.
To count from 1 to 2,013 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 2013 cubic inches would be around 1.1 feet tall.

Recreational maths with 2013

2013 backwards is 3102
The number of decimal digits it has is: 4
The sum of 2013's digits is 6
More coming soon!

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The information we have on file for 2013 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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