# 17968

## 17,968 is an even composite number composed of two prime numbers multiplied together.

What does the number 17968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

17968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 17968:

### 24 × 1123

(2 × 2 × 2 × 2 × 1123)

See below for interesting mathematical facts about the number 17968 from the Numbermatics database.

### Names of 17968

• Cardinal: 17968 can be written as Seventeen thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.7968 × 104

### Factors of 17968

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 1125

### Divisors of 17968

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 34844
• Sum of proper divisors (its aliquot sum) s(n): 16876
• 17968 is a deficient number, because the sum of its proper divisors (16876) is less than itself. Its deficiency is 1092

### Bases of 17968

• Binary: 1000110001100002
• Base-36: DV4

### Squares and roots of 17968

• 17968 squared (179682) is 322849024
• 17968 cubed (179683) is 5800951263232
• The square root of 17968 is 134.0447686409
• The cube root of 17968 is 26.1918744105

### Scales and comparisons

How big is 17968?
• 17,968 seconds is equal to 4 hours, 59 minutes, 28 seconds.
• To count from 1 to 17,968 would take you about four 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 17968 cubic inches would be around 2.2 feet tall.

### Recreational maths with 17968

• 17968 backwards is 86971
• The number of decimal digits it has is: 5
• The sum of 17968's digits is 31
• More coming soon!