# 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!