# 3825

## 3,825 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3825 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

3825 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3825:

### 32 × 52 × 17

(3 × 3 × 5 × 5 × 17)

See below for interesting mathematical facts about the number 3825 from the Numbermatics database.

### Names of 3825

• Cardinal: 3825 can be written as Three thousand, eight hundred twenty-five.

### Scientific notation

• Scientific notation: 3.825 × 103

### Factors of 3825

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 25

### Divisors of 3825

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 7254
• Sum of proper divisors (its aliquot sum) s(n): 3429
• 3825 is a deficient number, because the sum of its proper divisors (3429) is less than itself. Its deficiency is 396

### Bases of 3825

• Binary: 1110111100012
• Base-36: 2Y9

### Squares and roots of 3825

• 3825 squared (38252) is 14630625
• 3825 cubed (38253) is 55962140625
• The square root of 3825 is 61.8465843843
• The cube root of 3825 is 15.6390540219

### Scales and comparisons

How big is 3825?
• 3,825 seconds is equal to 1 hour, 3 minutes, 45 seconds.
• To count from 1 to 3,825 would take you about 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 3825 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3825

• 3825 backwards is 5283
• The number of decimal digits it has is: 4
• The sum of 3825's digits is 18
• More coming soon!