# 15084

## 15,084 is an even composite number composed of three prime numbers multiplied together.

What does the number 15084 look like?

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

15084 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 15084:

### 22 × 32 × 419

(2 × 2 × 3 × 3 × 419)

See below for interesting mathematical facts about the number 15084 from the Numbermatics database.

### Names of 15084

• Cardinal: 15084 can be written as Fifteen thousand and eighty-four.

### Scientific notation

• Scientific notation: 1.5084 × 104

### Factors of 15084

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 424

### Divisors of 15084

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 38220
• Sum of proper divisors (its aliquot sum) s(n): 23136
• 15084 is an abundant number, because the sum of its proper divisors (23136) is greater than itself. Its abundance is 8052

### Bases of 15084

• Binary: 111010111011002
• Base-36: BN0

### Squares and roots of 15084

• 15084 squared (150842) is 227527056
• 15084 cubed (150843) is 3432018112704
• The square root of 15084 is 122.8169369427
• The cube root of 15084 is 24.7080710345

### Scales and comparisons

How big is 15084?
• 15,084 seconds is equal to 4 hours, 11 minutes, 24 seconds.
• To count from 1 to 15,084 would take you about four 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 15084 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15084

• 15084 backwards is 48051
• 15084 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 15084's digits is 18
• More coming soon!