2005

2,005 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2005 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

2005 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 2005:

5 × 401

See below for interesting mathematical facts about the number 2005 from the Numbermatics database.

Names of 2005

• Cardinal: 2005 can be written as Two thousand and five.

Scientific notation

• Scientific notation: 2.005 × 103

Factors of 2005

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 406

Divisors of 2005

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 2412
• Sum of proper divisors (its aliquot sum) s(n): 407
• 2005 is a deficient number, because the sum of its proper divisors (407) is less than itself. Its deficiency is 1598

Bases of 2005

• Binary: 111110101012
• Base-36: 1JP

Squares and roots of 2005

• 2005 squared (20052) is 4020025
• 2005 cubed (20053) is 8060150125
• The square root of 2005 is 44.7772263545
• The cube root of 2005 is 12.6097011037

Scales and comparisons

How big is 2005?
• 2,005 seconds is equal to 33 minutes, 25 seconds.
• To count from 1 to 2,005 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 2005 cubic inches would be around 1.1 feet tall.

Recreational maths with 2005

• 2005 backwards is 5002
• The number of decimal digits it has is: 4
• The sum of 2005's digits is 7
• More coming soon!

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