# 9954

## 9,954 is an even composite number composed of four prime numbers multiplied together.

What does the number 9954 look like?

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

9954 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 9954:

### 2 × 32 × 7 × 79

(2 × 3 × 3 × 7 × 79)

See below for interesting mathematical facts about the number 9954 from the Numbermatics database.

### Names of 9954

• Cardinal: 9954 can be written as Nine thousand, nine hundred fifty-four.

### Scientific notation

• Scientific notation: 9.954 × 103

### Factors of 9954

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 91

### Divisors of 9954

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 24960
• Sum of proper divisors (its aliquot sum) s(n): 15006
• 9954 is an abundant number, because the sum of its proper divisors (15006) is greater than itself. Its abundance is 5052

### Bases of 9954

• Binary: 100110111000102
• Base-36: 7OI

### Squares and roots of 9954

• 9954 squared (99542) is 99082116
• 9954 cubed (99543) is 986263382664
• The square root of 9954 is 99.7697348899
• The cube root of 9954 is 21.5112614521

### Scales and comparisons

How big is 9954?
• 9,954 seconds is equal to 2 hours, 45 minutes, 54 seconds.
• To count from 1 to 9,954 would take you about two 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 9954 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9954

• 9954 backwards is 4599
• The number of decimal digits it has is: 4
• The sum of 9954's digits is 27
• More coming soon!