# 17264

## 17,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 17264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

17264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 17264:

### 24 × 13 × 83

(2 × 2 × 2 × 2 × 13 × 83)

See below for interesting mathematical facts about the number 17264 from the Numbermatics database.

### Names of 17264

• Cardinal: 17264 can be written as Seventeen thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 1.7264 × 104

### Factors of 17264

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 98

### Divisors of 17264

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 36456
• Sum of proper divisors (its aliquot sum) s(n): 19192
• 17264 is an abundant number, because the sum of its proper divisors (19192) is greater than itself. Its abundance is 1928

### Bases of 17264

• Binary: 1000011011100002
• Base-36: DBK

### Squares and roots of 17264

• 17264 squared (172642) is 298045696
• 17264 cubed (172643) is 5145460895744
• The square root of 17264 is 131.3925416453
• The cube root of 17264 is 25.8452344287

### Scales and comparisons

How big is 17264?
• 17,264 seconds is equal to 4 hours, 47 minutes, 44 seconds.
• To count from 1 to 17,264 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 17264 cubic inches would be around 2.2 feet tall.

### Recreational maths with 17264

• 17264 backwards is 46271
• The number of decimal digits it has is: 5
• The sum of 17264's digits is 20
• More coming soon!