# 5175

## 5,175 is an odd composite number composed of three prime numbers multiplied together.

What does the number 5175 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

5175 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 5175:

### 32 × 52 × 23

(3 × 3 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 5175 from the Numbermatics database.

### Names of 5175

• Cardinal: 5175 can be written as Five thousand, one hundred seventy-five.

### Scientific notation

• Scientific notation: 5.175 × 103

### Factors of 5175

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 31

### Divisors of 5175

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 9672
• Sum of proper divisors (its aliquot sum) s(n): 4497
• 5175 is a deficient number, because the sum of its proper divisors (4497) is less than itself. Its deficiency is 678

### Bases of 5175

• Binary: 10100001101112
• Base-36: 3ZR

### Squares and roots of 5175

• 5175 squared (51752) is 26780625
• 5175 cubed (51753) is 138589734375
• The square root of 5175 is 71.9374728495
• The cube root of 5175 is 17.2969734199

### Scales and comparisons

How big is 5175?
• 5,175 seconds is equal to 1 hour, 26 minutes, 15 seconds.
• To count from 1 to 5,175 would take you about twenty-six 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 5175 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5175

• 5175 backwards is 5715
• The number of decimal digits it has is: 4
• The sum of 5175's digits is 18
• More coming soon!