# 82984

## 82,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 82984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

82984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 82984:

### 23 × 11 × 23 × 41

(2 × 2 × 2 × 11 × 23 × 41)

See below for interesting mathematical facts about the number 82984 from the Numbermatics database.

### Names of 82984

• Cardinal: 82984 can be written as Eighty-two thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 8.2984 × 104

### Factors of 82984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 77

### Divisors of 82984

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 181440
• Sum of proper divisors (its aliquot sum) s(n): 98456
• 82984 is an abundant number, because the sum of its proper divisors (98456) is greater than itself. Its abundance is 15472

### Bases of 82984

• Binary: 101000100001010002
• Base-36: 1S14

### Squares and roots of 82984

• 82984 squared (829842) is 6886344256
• 82984 cubed (829843) is 571456391739904
• The square root of 82984 is 288.0694360741
• The cube root of 82984 is 43.6179035977

### Scales and comparisons

How big is 82984?
• 82,984 seconds is equal to 23 hours, 3 minutes, 4 seconds.
• To count from 1 to 82,984 would take you about twenty-three 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 82984 cubic inches would be around 3.6 feet tall.

### Recreational maths with 82984

• 82984 backwards is 48928
• The number of decimal digits it has is: 5
• The sum of 82984's digits is 31
• More coming soon!