# 672

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

What does the number 672 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

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

## Prime factorization of 672:

### 25 × 3 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 672 from the Numbermatics database.

### Names of 672

• Cardinal: 672 can be written as Six hundred seventy-two.

### Scientific notation

• Scientific notation: 6.72 × 102

### Factors of 672

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 12

### Divisors of 672

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 2016
• Sum of proper divisors (its aliquot sum) s(n): 1344
• 672 is an abundant number, because the sum of its proper divisors (1344) is greater than itself. Its abundance is 672

### Bases of 672

• Binary: 10101000002
• Base-36: IO

### Squares and roots of 672

• 672 squared (6722) is 451584
• 672 cubed (6723) is 303464448
• The square root of 672 is 25.9229627937
• The cube root of 672 is 8.7590382797

### Scales and comparisons

How big is 672?
• 672 seconds is equal to 11 minutes, 12 seconds.
• To count from 1 to 672 would take you about five 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 672 cubic inches would be around 0.7 feet tall.

### Recreational maths with 672

• 672 backwards is 276
• The number of decimal digits it has is: 3
• The sum of 672's digits is 15
• More coming soon!