# 3361

## 3,361 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 3361 look like?

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

3361 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3361:

### 3361

See below for interesting mathematical facts about the number 3361 from the Numbermatics database.

### Names of 3361

• Cardinal: 3361 can be written as Three thousand, three hundred sixty-one.

### Scientific notation

• Scientific notation: 3.361 × 103

### Factors of 3361

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3361

### Divisors of 3361

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3362
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3361 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3360

### Bases of 3361

• Binary: 1101001000012
• Base-36: 2LD

### Squares and roots of 3361

• 3361 squared (33612) is 11296321
• 3361 cubed (33613) is 37966934881
• The square root of 3361 is 57.9741321625
• The cube root of 3361 is 14.9792305145

### Scales and comparisons

How big is 3361?
• 3,361 seconds is equal to 56 minutes, 1 second.
• To count from 1 to 3,361 would take you about fifty-six 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 3361 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3361

• 3361 backwards is 1633
• The number of decimal digits it has is: 4
• The sum of 3361's digits is 13
• More coming soon!