# 9864

## 9,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 9864 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

9864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 9864:

### 23 × 32 × 137

(2 × 2 × 2 × 3 × 3 × 137)

See below for interesting mathematical facts about the number 9864 from the Numbermatics database.

### Names of 9864

• Cardinal: 9864 can be written as Nine thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 9.864 × 103

### Factors of 9864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 142

### Divisors of 9864

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 26910
• Sum of proper divisors (its aliquot sum) s(n): 17046
• 9864 is an abundant number, because the sum of its proper divisors (17046) is greater than itself. Its abundance is 7182

### Bases of 9864

• Binary: 100110100010002
• Base-36: 7M0

### Squares and roots of 9864

• 9864 squared (98642) is 97298496
• 9864 cubed (98643) is 959752364544
• The square root of 9864 is 99.3176721435
• The cube root of 9864 is 21.4462330581

### Scales and comparisons

How big is 9864?
• 9,864 seconds is equal to 2 hours, 44 minutes, 24 seconds.
• To count from 1 to 9,864 would take you about two 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 9864 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9864

• 9864 backwards is 4689
• The number of decimal digits it has is: 4
• The sum of 9864's digits is 27
• More coming soon!