# 3472

## 3,472 is an even composite number composed of three prime numbers multiplied together.

What does the number 3472 look like?

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

3472 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 3472:

### 24 × 7 × 31

(2 × 2 × 2 × 2 × 7 × 31)

See below for interesting mathematical facts about the number 3472 from the Numbermatics database.

### Names of 3472

• Cardinal: 3472 can be written as Three thousand, four hundred seventy-two.

### Scientific notation

• Scientific notation: 3.472 × 103

### Factors of 3472

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 40

### Divisors of 3472

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 7936
• Sum of proper divisors (its aliquot sum) s(n): 4464
• 3472 is an abundant number, because the sum of its proper divisors (4464) is greater than itself. Its abundance is 992

### Bases of 3472

• Binary: 1101100100002
• Base-36: 2OG

### Squares and roots of 3472

• 3472 squared (34722) is 12054784
• 3472 cubed (34723) is 41854210048
• The square root of 3472 is 58.9236794505
• The cube root of 3472 is 15.1423485563

### Scales and comparisons

How big is 3472?
• 3,472 seconds is equal to 57 minutes, 52 seconds.
• To count from 1 to 3,472 would take you about fifty-seven 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 3472 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3472

• 3472 backwards is 2743
• 3472 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3472's digits is 16
• More coming soon!