2142

2,142 is an even composite number composed of four prime numbers multiplied together.

What does the number 2142 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

2142 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 2142:

2 × 32 × 7 × 17

(2 × 3 × 3 × 7 × 17)

See below for interesting mathematical facts about the number 2142 from the Numbermatics database.

Names of 2142

• Cardinal: 2142 can be written as Two thousand, one hundred forty-two.

Scientific notation

• Scientific notation: 2.142 × 103

Factors of 2142

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 29

Divisors of 2142

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5616
• Sum of proper divisors (its aliquot sum) s(n): 3474
• 2142 is an abundant number, because the sum of its proper divisors (3474) is greater than itself. Its abundance is 1332

Bases of 2142

• Binary: 1000010111102
• Base-36: 1NI

Squares and roots of 2142

• 2142 squared (21422) is 4588164
• 2142 cubed (21423) is 9827847288
• The square root of 2142 is 46.2817458617
• The cube root of 2142 is 12.8906006889

Scales and comparisons

How big is 2142?
• 2,142 seconds is equal to 35 minutes, 42 seconds.
• To count from 1 to 2,142 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 2142 cubic inches would be around 1.1 feet tall.

Recreational maths with 2142

• 2142 backwards is 2412
• 2142 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2142's digits is 9
• More coming soon!

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"Number 2142 - Facts about the integer". Numbermatics.com. 2022. Web. 20 January 2022.

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Chicago style:
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The information we have on file for 2142 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!

Keywords: Divisors of 2142, math, Factors of 2142, curriculum, school, college, exams, university, Prime factorization of 2142, STEM, science, technology, engineering, physics, economics, calculator, two thousand, one hundred forty-two.

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