# 8221

## 8,221 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 8221 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

8221 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 8221:

### 8221

See below for interesting mathematical facts about the number 8221 from the Numbermatics database.

### Names of 8221

• Cardinal: 8221 can be written as Eight thousand, two hundred twenty-one.

### Scientific notation

• Scientific notation: 8.221 × 103

### Factors of 8221

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 8221

### Divisors of 8221

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 8222
• Sum of proper divisors (its aliquot sum) s(n): 1
• 8221 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 8220

### Bases of 8221

• Binary: 100000000111012
• Base-36: 6CD

### Squares and roots of 8221

• 8221 squared (82212) is 67584841
• 8221 cubed (82213) is 555614977861
• The square root of 8221 is 90.6697303403
• The cube root of 8221 is 20.1824963557

### Scales and comparisons

How big is 8221?
• 8,221 seconds is equal to 2 hours, 17 minutes, 1 second.
• To count from 1 to 8,221 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 8221 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8221

• 8221 backwards is 1228
• The number of decimal digits it has is: 4
• The sum of 8221's digits is 13
• More coming soon!