# 3221

## 3,221 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 3221 look like?

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

3221 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3221:

### 3221

See below for interesting mathematical facts about the number 3221 from the Numbermatics database.

### Names of 3221

• Cardinal: 3221 can be written as Three thousand, two hundred twenty-one.

### Scientific notation

• Scientific notation: 3.221 × 103

### Factors of 3221

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3221

### Divisors of 3221

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3222
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3221 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3220

### Bases of 3221

• Binary: 1100100101012
• Base-36: 2HH

### Squares and roots of 3221

• 3221 squared (32212) is 10374841
• 3221 cubed (32213) is 33417362861
• The square root of 3221 is 56.7538544947
• The cube root of 3221 is 14.7682910115

### Scales and comparisons

How big is 3221?
• 3,221 seconds is equal to 53 minutes, 41 seconds.
• To count from 1 to 3,221 would take you about fifty-three 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 3221 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3221

• 3221 backwards is 1223
• The number of decimal digits it has is: 4
• The sum of 3221's digits is 8
• More coming soon!