# 4968

## 4,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 4968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

4968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 4968:

### 23 × 33 × 23

(2 × 2 × 2 × 3 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 4968 from the Numbermatics database.

### Names of 4968

• Cardinal: 4968 can be written as Four thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 4.968 × 103

### Factors of 4968

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 28

### Divisors of 4968

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 14400
• Sum of proper divisors (its aliquot sum) s(n): 9432
• 4968 is an abundant number, because the sum of its proper divisors (9432) is greater than itself. Its abundance is 4464

### Bases of 4968

• Binary: 10011011010002
• Base-36: 3U0

### Squares and roots of 4968

• 4968 squared (49682) is 24681024
• 4968 cubed (49683) is 122615327232
• The square root of 4968 is 70.4840407469
• The cube root of 4968 is 17.0632018791

### Scales and comparisons

How big is 4968?
• 4,968 seconds is equal to 1 hour, 22 minutes, 48 seconds.
• To count from 1 to 4,968 would take you about twenty-two 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 4968 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4968

• 4968 backwards is 8694
• 4968 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4968's digits is 27
• More coming soon!