2100

2,100 is an even composite number composed of four prime numbers multiplied together.

What does the number 2100 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

2100 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 2100:

22 × 3 × 52 × 7

(2 × 2 × 3 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 2100 from the Numbermatics database.

Names of 2100

• Cardinal: 2100 can be written as Two thousand, one hundred.

Scientific notation

• Scientific notation: 2.1 × 103

Factors of 2100

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 17

Divisors of 2100

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 6944
• Sum of proper divisors (its aliquot sum) s(n): 4844
• 2100 is an abundant number, because the sum of its proper divisors (4844) is greater than itself. Its abundance is 2744

Bases of 2100

• Binary: 1000001101002
• Base-36: 1MC

Squares and roots of 2100

• 2100 squared (21002) is 4410000
• 2100 cubed (21003) is 9261000000
• The square root of 2100 is 45.8257569495
• The cube root of 2100 is 12.8057916499

Scales and comparisons

How big is 2100?
• 2,100 seconds is equal to 35 minutes.
• To count from 1 to 2,100 would take you about thirty-five 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 2100 cubic inches would be around 1.1 feet tall.

Recreational maths with 2100

• 2100 backwards is 0012
• 2100 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2100's digits is 3
• More coming soon!

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