# 3701

## 3,701 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 3701 look like?

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

3701 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3701:

### 3701

See below for interesting mathematical facts about the number 3701 from the Numbermatics database.

### Names of 3701

• Cardinal: 3701 can be written as Three thousand, seven hundred one.

### Scientific notation

• Scientific notation: 3.701 × 103

### Factors of 3701

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3701

### Divisors of 3701

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3702
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3701 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3700

### Bases of 3701

• Binary: 1110011101012
• Base-36: 2UT

### Squares and roots of 3701

• 3701 squared (37012) is 13697401
• 3701 cubed (37013) is 50694081101
• The square root of 3701 is 60.8358446971
• The cube root of 3701 is 15.4681970181

### Scales and comparisons

How big is 3701?
• 3,701 seconds is equal to 1 hour, 1 minute, 41 seconds.
• To count from 1 to 3,701 would take you about forty-one seconds.

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 3701 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3701

• 3701 backwards is 1073
• The number of decimal digits it has is: 4
• The sum of 3701's digits is 11
• More coming soon!