# 33957

## 33,957 is an odd composite number composed of three prime numbers multiplied together.

What does the number 33957 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

33957 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 33957:

### 32 × 73 × 11

(3 × 3 × 7 × 7 × 7 × 11)

See below for interesting mathematical facts about the number 33957 from the Numbermatics database.

### Names of 33957

• Cardinal: 33957 can be written as Thirty-three thousand, nine hundred fifty-seven.

### Scientific notation

• Scientific notation: 3.3957 × 104

### Factors of 33957

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 21

### Divisors of 33957

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 62400
• Sum of proper divisors (its aliquot sum) s(n): 28443
• 33957 is a deficient number, because the sum of its proper divisors (28443) is less than itself. Its deficiency is 5514

### Bases of 33957

• Binary: 10000100101001012
• Base-36: Q79

### Squares and roots of 33957

• 33957 squared (339572) is 1153077849
• 33957 cubed (339573) is 39155064518493
• The square root of 33957 is 184.2742521351
• The cube root of 33957 is 32.3824550643

### Scales and comparisons

How big is 33957?
• 33,957 seconds is equal to 9 hours, 25 minutes, 57 seconds.
• To count from 1 to 33,957 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 33957 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33957

• 33957 backwards is 75933
• The number of decimal digits it has is: 5
• The sum of 33957's digits is 27
• More coming soon!