# 882

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

What does the number 882 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

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

## Prime factorization of 882:

### 2 × 32 × 72

(2 × 3 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 882 from the Numbermatics database.

### Names of 882

• Cardinal: 882 can be written as Eight hundred eighty-two.

### Scientific notation

• Scientific notation: 8.82 × 102

### Factors of 882

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 12

### Divisors of 882

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 2223
• Sum of proper divisors (its aliquot sum) s(n): 1341
• 882 is an abundant number, because the sum of its proper divisors (1341) is greater than itself. Its abundance is 459

### Bases of 882

• Binary: 11011100102
• Base-36: OI

### Squares and roots of 882

• 882 squared (8822) is 777924
• 882 cubed (8823) is 686128968
• The square root of 882 is 29.6984848099
• The cube root of 882 is 9.5900939481

### Scales and comparisons

How big is 882?
• 882 seconds is equal to 14 minutes, 42 seconds.
• To count from 1 to 882 would take you about seven 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 882 cubic inches would be around 0.8 feet tall.

### Recreational maths with 882

• 882 backwards is 288
• 882 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 882's digits is 18
• More coming soon!