# 15625

## 15,625 is an odd composite number. It is composed of a single prime number multiplied by itself five times.

What does the number 15625 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 7 divisors.

15625 is an odd composite number. It is composed of one distinct prime number multiplied by itself five times. It has a total of seven divisors.

## Prime factorization of 15625:

### 56

(5 × 5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 15625 from the Numbermatics database.

### Names of 15625

• Cardinal: 15625 can be written as Fifteen thousand, six hundred twenty-five.

### Scientific notation

• Scientific notation: 1.5625 × 104

### Factors of 15625

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 5

### Divisors of 15625

• Number of divisors d(n): 7
• Complete list of divisors:
• Sum of all divisors σ(n): 19531
• Sum of proper divisors (its aliquot sum) s(n): 3906
• 15625 is a deficient number, because the sum of its proper divisors (3906) is less than itself. Its deficiency is 11719

### Bases of 15625

• Binary: 111101000010012
• Base-36: C21

### Squares and roots of 15625

• 15625 squared (156252) is 244140625
• 15625 cubed (156253) is 3814697265625
• 15625 is a perfect square number. Its square root is 125
• 15625 is a perfect cube number. Its cube root is 25
• Being both a perfect square and a perfect cube, 15625 is also a perfect sixth number.

### Scales and comparisons

How big is 15625?
• 15,625 seconds is equal to 4 hours, 20 minutes, 25 seconds.
• To count from 1 to 15,625 would take you about four hours.

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 15625 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15625

• 15625 backwards is 52651
• The number of decimal digits it has is: 5
• The sum of 15625's digits is 19
• More coming soon!