# 33825

## 33,825 is an odd composite number composed of four prime numbers multiplied together.

What does the number 33825 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

33825 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 33825:

### 3 × 52 × 11 × 41

(3 × 5 × 5 × 11 × 41)

See below for interesting mathematical facts about the number 33825 from the Numbermatics database.

### Names of 33825

• Cardinal: 33825 can be written as Thirty-three thousand, eight hundred twenty-five.

### Scientific notation

• Scientific notation: 3.3825 × 104

### Factors of 33825

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 60

### Divisors of 33825

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 62496
• Sum of proper divisors (its aliquot sum) s(n): 28671
• 33825 is a deficient number, because the sum of its proper divisors (28671) is less than itself. Its deficiency is 5154

### Bases of 33825

• Binary: 10000100001000012
• Base-36: Q3L

### Squares and roots of 33825

• 33825 squared (338252) is 1144130625
• 33825 cubed (338253) is 38700218390625
• The square root of 33825 is 183.9157415775
• The cube root of 33825 is 32.3404408035

### Scales and comparisons

How big is 33825?
• 33,825 seconds is equal to 9 hours, 23 minutes, 45 seconds.
• To count from 1 to 33,825 would take you about nine 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 33825 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33825

• 33825 backwards is 52833
• The number of decimal digits it has is: 5
• The sum of 33825's digits is 21
• More coming soon!