# 1984

## 1,984 is an even composite number composed of two prime numbers multiplied together.

What does the number 1984 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

1984 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

## Prime factorization of 1984:

### 26 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 31)

See below for interesting mathematical facts about the number 1984 from the Numbermatics database.

### Names of 1984

• Cardinal: 1984 can be written as One thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 1.984 × 103

### Factors of 1984

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 33

### Divisors of 1984

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 4064
• Sum of proper divisors (its aliquot sum) s(n): 2080
• 1984 is an abundant number, because the sum of its proper divisors (2080) is greater than itself. Its abundance is 96

### Bases of 1984

• Binary: 111110000002
• Base-36: 1J4

### Squares and roots of 1984

• 1984 squared (19842) is 3936256
• 1984 cubed (19843) is 7809531904
• The square root of 1984 is 44.5421149025
• The cube root of 1984 is 12.5655226095

### Scales and comparisons

How big is 1984?
• 1,984 seconds is equal to 33 minutes, 4 seconds.
• To count from 1 to 1,984 would take you about thirty-three 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 1984 cubic inches would be around 1 feet tall.

### Recreational maths with 1984

• 1984 backwards is 4891
• The number of decimal digits it has is: 4
• The sum of 1984's digits is 22
• More coming soon!