# 3125

## 3,125 is an odd composite number. It is composed of a single prime number multiplied by itself four times.

What does the number 3125 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 6 divisors.

3125 is an odd composite number. It is composed of one distinct prime number multiplied by itself four times. It has a total of six divisors.

## Prime factorization of 3125:

### 55

(5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 3125 from the Numbermatics database.

### Names of 3125

• Cardinal: 3125 can be written as Three thousand, one hundred twenty-five.

### Scientific notation

• Scientific notation: 3.125 × 103

### Factors of 3125

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

### Divisors of 3125

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3906
• Sum of proper divisors (its aliquot sum) s(n): 781
• 3125 is a deficient number, because the sum of its proper divisors (781) is less than itself. Its deficiency is 2344

### Bases of 3125

• Binary: 1100001101012
• Base-36: 2ET

### Squares and roots of 3125

• 3125 squared (31252) is 9765625
• 3125 cubed (31253) is 30517578125
• The square root of 3125 is 55.9016994375
• The cube root of 3125 is 14.6200886911

### Scales and comparisons

How big is 3125?
• 3,125 seconds is equal to 52 minutes, 5 seconds.
• To count from 1 to 3,125 would take you about fifty-two 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 3125 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3125

• 3125 backwards is 5213
• The number of decimal digits it has is: 4
• The sum of 3125's digits is 11
• More coming soon!