# 4600

## 4,600 is an even composite number composed of three prime numbers multiplied together.

What does the number 4600 look like?

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

4600 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 4600:

### 23 × 52 × 23

(2 × 2 × 2 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 4600 from the Numbermatics database.

### Names of 4600

• Cardinal: 4600 can be written as Four thousand, six hundred.

### Scientific notation

• Scientific notation: 4.6 × 103

### Factors of 4600

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 30

### Divisors of 4600

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 11160
• Sum of proper divisors (its aliquot sum) s(n): 6560
• 4600 is an abundant number, because the sum of its proper divisors (6560) is greater than itself. Its abundance is 1960

### Bases of 4600

• Binary: 10001111110002
• Base-36: 3JS

### Squares and roots of 4600

• 4600 squared (46002) is 21160000
• 4600 cubed (46003) is 97336000000
• The square root of 4600 is 67.8232998313
• The cube root of 4600 is 16.6310349885

### Scales and comparisons

How big is 4600?
• 4,600 seconds is equal to 1 hour, 16 minutes, 40 seconds.
• To count from 1 to 4,600 would take you about sixteen 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 4600 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4600

• 4600 backwards is 0064
• 4600 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4600's digits is 10
• More coming soon!