4185

4,185 is an odd composite number composed of three prime numbers multiplied together.

What does the number 4185 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

4185 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 4185:

3³ × 5 × 31

(3 × 3 × 3 × 5 × 31)

See below for interesting mathematical facts about the number 4185 from the Numbermatics database.

Names of 4185

Cardinal: 4185 can be written as Four thousand, one hundred eighty-five.

Scientific notation

Scientific notation: 4.185 × 10³

Factors of 4185

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 39

Divisors of 4185

Number of divisors d(n): 16
Complete list of divisors:
1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185
Sum of all divisors σ(n): 7680
Sum of proper divisors (its aliquot sum) s(n): 3495
4185 is a deficient number, because the sum of its proper divisors (3495) is less than itself. Its deficiency is 690

Bases of 4185

Binary: 1000001011001₂
Hexadecimal: 0x1059
Base-36: 389

Squares and roots of 4185

4185 squared (4185²) is 17514225
4185 cubed (4185³) is 73297031625
The square root of 4185 is 64.6915759585
The cube root of 4185 is 16.1150560649

Scales and comparisons

How big is 4185?

4,185 seconds is equal to 1 hour, 9 minutes, 45 seconds.
To count from 1 to 4,185 would take you about nine 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 4185 cubic inches would be around 1.3 feet tall.

Recreational maths with 4185

4185 backwards is 5814
The number of decimal digits it has is: 4
The sum of 4185's digits is 18
More coming soon!

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The information we have on file for 4185 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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