# 3072

## 3,072 is an even composite number composed of two prime numbers multiplied together.

What does the number 3072 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 22 divisors.

3072 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-two divisors.

## Prime factorization of 3072:

### 210 × 3

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

See below for interesting mathematical facts about the number 3072 from the Numbermatics database.

### Names of 3072

• Cardinal: 3072 can be written as Three thousand and seventy-two.

### Scientific notation

• Scientific notation: 3.072 × 103

### Factors of 3072

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5

### Divisors of 3072

• Number of divisors d(n): 22
• Complete list of divisors:
• Sum of all divisors σ(n): 8188
• Sum of proper divisors (its aliquot sum) s(n): 5116
• 3072 is an abundant number, because the sum of its proper divisors (5116) is greater than itself. Its abundance is 2044

### Bases of 3072

• Binary: 1100000000002
• Base-36: 2DC

### Squares and roots of 3072

• 3072 squared (30722) is 9437184
• 3072 cubed (30723) is 28991029248
• The square root of 3072 is 55.4256258423
• The cube root of 3072 is 14.5369647427

### Scales and comparisons

How big is 3072?
• 3,072 seconds is equal to 51 minutes, 12 seconds.
• To count from 1 to 3,072 would take you about fifty-one 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 3072 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3072

• 3072 backwards is 2703
• 3072 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3072's digits is 12
• More coming soon!

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The information we have on file for 3072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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