# 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:
• 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
• 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!