# 2982

## 2,982 is an even composite number composed of four prime numbers multiplied together.

What does the number 2982 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

2982 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2982:

### 2 × 3 × 7 × 71

See below for interesting mathematical facts about the number 2982 from the Numbermatics database.

### Names of 2982

• Cardinal: 2982 can be written as Two thousand, nine hundred eighty-two.

### Scientific notation

• Scientific notation: 2.982 × 103

### Factors of 2982

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 83

### Divisors of 2982

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 6912
• Sum of proper divisors (its aliquot sum) s(n): 3930
• 2982 is an abundant number, because the sum of its proper divisors (3930) is greater than itself. Its abundance is 948

### Bases of 2982

• Binary: 1011101001102
• Base-36: 2AU

### Squares and roots of 2982

• 2982 squared (29822) is 8892324
• 2982 cubed (29823) is 26516910168
• The square root of 2982 is 54.6076917659
• The cube root of 2982 is 14.3935928287

### Scales and comparisons

How big is 2982?
• 2,982 seconds is equal to 49 minutes, 42 seconds.
• To count from 1 to 2,982 would take you about forty-nine 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 2982 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2982

• 2982 backwards is 2892
• 2982 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2982's digits is 21
• More coming soon!