# 55125

## 55,125 is an odd composite number composed of three prime numbers multiplied together.

What does the number 55125 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

55125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 55125:

### 32 × 53 × 72

(3 × 3 × 5 × 5 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 55125 from the Numbermatics database.

### Names of 55125

• Cardinal: 55125 can be written as Fifty-five thousand, one hundred twenty-five.

### Scientific notation

• Scientific notation: 5.5125 × 104

### Factors of 55125

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 15

### Divisors of 55125

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 115596
• Sum of proper divisors (its aliquot sum) s(n): 60471
• 55125 is an abundant number, because the sum of its proper divisors (60471) is greater than itself. Its abundance is 5346

### Bases of 55125

• Binary: 11010111010101012
• Base-36: 16J9

### Squares and roots of 55125

• 55125 squared (551252) is 3038765625
• 55125 cubed (551253) is 167511955078125
• The square root of 55125 is 234.7871376375
• The cube root of 55125 is 38.0583130551

### Scales and comparisons

How big is 55125?
• 55,125 seconds is equal to 15 hours, 18 minutes, 45 seconds.
• To count from 1 to 55,125 would take you about fifteen hours.

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 55125 cubic inches would be around 3.2 feet tall.

### Recreational maths with 55125

• 55125 backwards is 52155
• The number of decimal digits it has is: 5
• The sum of 55125's digits is 18
• More coming soon!