2004002

2,004,002 is an even composite number composed of four prime numbers multiplied together.

What does the number 2004002 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 54 divisors.

2004002 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 2004002:

2 × 7² × 11² × 13²

(2 × 7 × 7 × 11 × 11 × 13 × 13)

See below for interesting mathematical facts about the number 2004002 from the Numbermatics database.

Names of 2004002

Cardinal: 2004002 can be written as Two million, four thousand and two.

Scientific notation

Scientific notation: 2.004002 × 10⁶

Factors of 2004002

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 33

Divisors of 2004002

Number of divisors d(n): 54
Complete list of divisors:
1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 169 182 242 286 338 539 637 847 1001 1078 1183 1274 1573 1694 1859 2002 2366 3146 3718 5929 7007 8281 11011 11858 13013 14014 16562 20449 22022 26026 40898 77077 91091 143143 154154 182182 286286 1002001 2004002
Sum of all divisors σ(n): 4161969
Sum of proper divisors (its aliquot sum) s(n): 2157967
2004002 is an abundant number, because the sum of its proper divisors (2157967) is greater than itself. Its abundance is 153965

Bases of 2004002

Binary: 111101001010000100010₂
Hexadecimal: 0x1E9422
Base-36: 16YAQ

Squares and roots of 2004002

2004002 squared (2004002²) is 4016024016004
2004002 cubed (2004002³) is 8048120160120048008
The square root of 2004002 is 1415.6277759355
The cube root of 2004002 is 126.0760857331

Scales and comparisons

How big is 2004002?

2,004,002 seconds is equal to 3 weeks, 2 days, 4 hours, 40 minutes, 2 seconds.
To count from 1 to 2,004,002 would take you about four weeks!

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 2004002 cubic inches would be around 10.5 feet tall.

Recreational maths with 2004002

2004002 is the same when its digits are reversed! That makes it a palindromic number.
The number of decimal digits it has is: 7
The sum of 2004002's digits is 8
More coming soon!

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The information we have on file for 2004002 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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