# 945

## 945 is an odd composite number composed of three prime numbers multiplied together.

What does the number 945 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

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

## Prime factorization of 945:

### 33 × 5 × 7

(3 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 945 from the Numbermatics database.

### Names of 945

• Cardinal: 945 can be written as Nine hundred forty-five.

### Scientific notation

• Scientific notation: 9.45 × 102

### Factors of 945

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 15

### Divisors of 945

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1920
• Sum of proper divisors (its aliquot sum) s(n): 975
• 945 is an abundant number, because the sum of its proper divisors (975) is greater than itself. Its abundance is 30

### Bases of 945

• Binary: 11101100012
• Base-36: Q9

### Squares and roots of 945

• 945 squared (9452) is 893025
• 945 cubed (9453) is 843908625
• The square root of 945 is 30.7408522979
• The cube root of 945 is 9.8131989305

### Scales and comparisons

How big is 945?
• 945 seconds is equal to 15 minutes, 45 seconds.
• To count from 1 to 945 would take you about 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 945 cubic inches would be around 0.8 feet tall.

### Recreational maths with 945

• 945 backwards is 549
• The number of decimal digits it has is: 3
• The sum of 945's digits is 18
• More coming soon!