# 8984

## 8,984 is an even composite number composed of two prime numbers multiplied together.

What does the number 8984 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

8984 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 8984:

### 23 × 1123

(2 × 2 × 2 × 1123)

See below for interesting mathematical facts about the number 8984 from the Numbermatics database.

### Names of 8984

• Cardinal: 8984 can be written as Eight thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 8.984 × 103

### Factors of 8984

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 1125

### Divisors of 8984

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 16860
• Sum of proper divisors (its aliquot sum) s(n): 7876
• 8984 is a deficient number, because the sum of its proper divisors (7876) is less than itself. Its deficiency is 1108

### Bases of 8984

• Binary: 100011000110002
• Base-36: 6XK

### Squares and roots of 8984

• 8984 squared (89842) is 80712256
• 8984 cubed (89843) is 725118907904
• The square root of 8984 is 94.7839648885
• The cube root of 8984 is 20.7885044963

### Scales and comparisons

How big is 8984?
• 8,984 seconds is equal to 2 hours, 29 minutes, 44 seconds.
• To count from 1 to 8,984 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 8984 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8984

• 8984 backwards is 4898
• The number of decimal digits it has is: 4
• The sum of 8984's digits is 29
• More coming soon!