# 8448

## 8,448 is an even composite number composed of three prime numbers multiplied together.

What does the number 8448 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

8448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 8448:

### 28 × 3 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 8448 from the Numbermatics database.

### Names of 8448

• Cardinal: 8448 can be written as Eight thousand, four hundred forty-eight.

### Scientific notation

• Scientific notation: 8.448 × 103

### Factors of 8448

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 16

### Divisors of 8448

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 24528
• Sum of proper divisors (its aliquot sum) s(n): 16080
• 8448 is an abundant number, because the sum of its proper divisors (16080) is greater than itself. Its abundance is 7632

### Bases of 8448

• Binary: 100001000000002
• Base-36: 6IO

### Squares and roots of 8448

• 8448 squared (84482) is 71368704
• 8448 cubed (84483) is 602922811392
• The square root of 8448 is 91.9130023447
• The cube root of 8448 is 20.3665734785

### Scales and comparisons

How big is 8448?
• 8,448 seconds is equal to 2 hours, 20 minutes, 48 seconds.
• To count from 1 to 8,448 would take you about two 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 8448 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8448

• 8448 is the same when its digits are reversed! That makes it a palindromic number.
• 8448 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8448's digits is 24
• More coming soon!