# 3248

## 3,248 is an even composite number composed of three prime numbers multiplied together.

What does the number 3248 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

3248 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 3248:

### 24 × 7 × 29

(2 × 2 × 2 × 2 × 7 × 29)

See below for interesting mathematical facts about the number 3248 from the Numbermatics database.

### Names of 3248

• Cardinal: 3248 can be written as Three thousand, two hundred forty-eight.

### Scientific notation

• Scientific notation: 3.248 × 103

### Factors of 3248

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 38

### Divisors of 3248

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 7440
• Sum of proper divisors (its aliquot sum) s(n): 4192
• 3248 is an abundant number, because the sum of its proper divisors (4192) is greater than itself. Its abundance is 944

### Bases of 3248

• Binary: 1100101100002
• Base-36: 2I8

### Squares and roots of 3248

• 3248 squared (32482) is 10549504
• 3248 cubed (32483) is 34264788992
• The square root of 3248 is 56.9912273951
• The cube root of 3248 is 14.8094412611

### Scales and comparisons

How big is 3248?
• 3,248 seconds is equal to 54 minutes, 8 seconds.
• To count from 1 to 3,248 would take you about fifty-four 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 3248 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3248

• 3248 backwards is 8423
• The number of decimal digits it has is: 4
• The sum of 3248's digits is 17
• More coming soon!