4004004

4,004,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 4004004 look like?

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

4004004 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 4004004:

2² × 3 × 333667

(2 × 2 × 3 × 333667)

See below for interesting mathematical facts about the number 4004004 from the Numbermatics database.

Names of 4004004

Cardinal: 4004004 can be written as Four million, four thousand and four.

Scientific notation

Scientific notation: 4.004004 × 10⁶

Factors of 4004004

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 4
Sum of prime factors: 333672

Divisors of 4004004

Number of divisors d(n): 12
Complete list of divisors:
1 2 3 4 6 12 333667 667334 1001001 1334668 2002002 4004004
Sum of all divisors σ(n): 9342704
Sum of proper divisors (its aliquot sum) s(n): 5338700
4004004 is an abundant number, because the sum of its proper divisors (5338700) is greater than itself. Its abundance is 1334696

Bases of 4004004

Binary: 1111010001100010100100₂
Hexadecimal: 0x3D18A4
Base-36: 2DTIC

Squares and roots of 4004004

4004004 squared (4004004²) is 16032048032016
4004004 cubed (4004004³) is 64192384448384192064
The square root of 4004004 is 2001.0007496251
The cube root of 4004004 is 158.7930538155

Scales and comparisons

How big is 4004004?

4,004,004 seconds is equal to 6 weeks, 4 days, 8 hours, 13 minutes, 24 seconds.
To count from 1 to 4,004,004 would take you about nine 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 4004004 cubic inches would be around 13.2 feet tall.

Recreational maths with 4004004

4004004 is the same when its digits are reversed! That makes it a palindromic number.
4004004 is a Harshad number.
The number of decimal digits it has is: 7
The sum of 4004004's digits is 12
More coming soon!

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The information we have on file for 4004004 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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