# 7406

## 7,406 is an even composite number composed of three prime numbers multiplied together.

What does the number 7406 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

7406 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 7406:

### 2 × 7 × 232

(2 × 7 × 23 × 23)

See below for interesting mathematical facts about the number 7406 from the Numbermatics database.

### Names of 7406

• Cardinal: 7406 can be written as Seven thousand, four hundred six.

### Scientific notation

• Scientific notation: 7.406 × 103

### Factors of 7406

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 32

### Divisors of 7406

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 13272
• Sum of proper divisors (its aliquot sum) s(n): 5866
• 7406 is a deficient number, because the sum of its proper divisors (5866) is less than itself. Its deficiency is 1540

### Bases of 7406

• Binary: 11100111011102
• Base-36: 5PQ

### Squares and roots of 7406

• 7406 squared (74062) is 54848836
• 7406 cubed (74063) is 406210479416
• The square root of 7406 is 86.0581198959
• The cube root of 7406 is 19.4922169247

### Scales and comparisons

How big is 7406?
• 7,406 seconds is equal to 2 hours, 3 minutes, 26 seconds.
• To count from 1 to 7,406 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 7406 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7406

• 7406 backwards is 6047
• The number of decimal digits it has is: 4
• The sum of 7406's digits is 17
• More coming soon!