# 5625

## 5,625 is an odd composite number composed of two prime numbers multiplied together.

What does the number 5625 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 15 divisors.

5625 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fifteen divisors.

## Prime factorization of 5625:

### 32 × 54

(3 × 3 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 5625 from the Numbermatics database.

### Names of 5625

• Cardinal: 5625 can be written as Five thousand, six hundred twenty-five.

### Scientific notation

• Scientific notation: 5.625 × 103

### Factors of 5625

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 8

### Divisors of 5625

• Number of divisors d(n): 15
• Complete list of divisors:
• Sum of all divisors σ(n): 10153
• Sum of proper divisors (its aliquot sum) s(n): 4528
• 5625 is a deficient number, because the sum of its proper divisors (4528) is less than itself. Its deficiency is 1097

### Bases of 5625

• Binary: 10101111110012
• Base-36: 4C9

### Squares and roots of 5625

• 5625 squared (56252) is 31640625
• 5625 cubed (56253) is 177978515625
• 5625 is a perfect square number. Its square root is 75
• The cube root of 5625 is 17.7844665225

### Scales and comparisons

How big is 5625?
• 5,625 seconds is equal to 1 hour, 33 minutes, 45 seconds.
• To count from 1 to 5,625 would take you about thirty-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 5625 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5625

• 5625 backwards is 5265
• The number of decimal digits it has is: 4
• The sum of 5625's digits is 18
• More coming soon!