3006003

3,006,003 is an odd composite number composed of four prime numbers multiplied together.

What does the number 3006003 look like?

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

3006003 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 3006003:

3 × 7² × 11² × 13²

(3 × 7 × 7 × 11 × 11 × 13 × 13)

See below for interesting mathematical facts about the number 3006003 from the Numbermatics database.

Names of 3006003

Cardinal: 3006003 can be written as Three million, six thousand and three.

Scientific notation

Scientific notation: 3.006003 × 10⁶

Factors of 3006003

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 34

Divisors of 3006003

Number of divisors d(n): 54
Complete list of divisors:
1 3 7 11 13 21 33 39 49 77 91 121 143 147 169 231 273 363 429 507 539 637 847 1001 1183 1573 1617 1859 1911 2541 3003 3549 4719 5577 5929 7007 8281 11011 13013 17787 20449 21021 24843 33033 39039 61347 77077 91091 143143 231231 273273 429429 1002001 3006003
Sum of all divisors σ(n): 5549292
Sum of proper divisors (its aliquot sum) s(n): 2543289
3006003 is a deficient number, because the sum of its proper divisors (2543289) is less than itself. Its deficiency is 462714

Bases of 3006003

Binary: 1011011101111000110011₂
Hexadecimal: 0x2DDE33
Base-36: 1SFG3

Squares and roots of 3006003

3006003 squared (3006003²) is 9036054036009
3006003 cubed (3006003³) is 27162405540405162027
The square root of 3006003 is 1733.7828583765
The cube root of 3006003 is 144.3210909843

Scales and comparisons

How big is 3006003?

3,006,003 seconds is equal to 4 weeks, 6 days, 19 hours, 3 seconds.
To count from 1 to 3,006,003 would take you about seven 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 3006003 cubic inches would be around 12 feet tall.

Recreational maths with 3006003

3006003 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 3006003's digits is 12
More coming soon!

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The information we have on file for 3006003 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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