# 984

## 984 is an even composite number composed of three prime numbers multiplied together.

What does the number 984 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

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

## Prime factorization of 984:

### 23 × 3 × 41

(2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 984 from the Numbermatics database.

### Names of 984

• Cardinal: 984 can be written as Nine hundred eighty-four.

### Scientific notation

• Scientific notation: 9.84 × 102

### Factors of 984

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 46

### Divisors of 984

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 2520
• Sum of proper divisors (its aliquot sum) s(n): 1536
• 984 is an abundant number, because the sum of its proper divisors (1536) is greater than itself. Its abundance is 552

### Bases of 984

• Binary: 11110110002
• Base-36: RC

### Squares and roots of 984

• 984 squared (9842) is 968256
• 984 cubed (9843) is 952763904
• The square root of 984 is 31.3687742827
• The cube root of 984 is 9.9463796665

### Scales and comparisons

How big is 984?
• 984 seconds is equal to 16 minutes, 24 seconds.
• To count from 1 to 984 would take you about eight minutes.

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 984 cubic inches would be around 0.8 feet tall.

### Recreational maths with 984

• 984 backwards is 489
• The number of decimal digits it has is: 3
• The sum of 984's digits is 21
• More coming soon!