# 3225

## 3,225 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3225 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

3225 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 3225:

### 3 × 52 × 43

(3 × 5 × 5 × 43)

See below for interesting mathematical facts about the number 3225 from the Numbermatics database.

### Names of 3225

• Cardinal: 3225 can be written as Three thousand, two hundred twenty-five.

### Scientific notation

• Scientific notation: 3.225 × 103

### Factors of 3225

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 51

### Divisors of 3225

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 5456
• Sum of proper divisors (its aliquot sum) s(n): 2231
• 3225 is a deficient number, because the sum of its proper divisors (2231) is less than itself. Its deficiency is 994

### Bases of 3225

• Binary: 1100100110012
• Base-36: 2HL

### Squares and roots of 3225

• 3225 squared (32252) is 10400625
• 3225 cubed (32253) is 33542015625
• The square root of 3225 is 56.7890834581
• The cube root of 3225 is 14.7744018185

### Scales and comparisons

How big is 3225?
• 3,225 seconds is equal to 53 minutes, 45 seconds.
• To count from 1 to 3,225 would take you about fifty-three 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 3225 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3225

• 3225 backwards is 5223
• The number of decimal digits it has is: 4
• The sum of 3225's digits is 12
• More coming soon!