# 4111

## 4,111 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 4111 look like?

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

4111 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4111:

### 4111

See below for interesting mathematical facts about the number 4111 from the Numbermatics database.

### Names of 4111

• Cardinal: 4111 can be written as Four thousand, one hundred eleven.

### Scientific notation

• Scientific notation: 4.111 × 103

### Factors of 4111

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4111

### Divisors of 4111

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4112
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4111 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4110

### Bases of 4111

• Binary: 10000000011112
• Base-36: 367

### Squares and roots of 4111

• 4111 squared (41112) is 16900321
• 4111 cubed (41113) is 69477219631
• The square root of 4111 is 64.1170804077
• The cube root of 4111 is 16.0195074565

### Scales and comparisons

How big is 4111?
• 4,111 seconds is equal to 1 hour, 8 minutes, 31 seconds.
• To count from 1 to 4,111 would take you about eight 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 4111 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4111

• 4111 backwards is 1114
• The number of decimal digits it has is: 4
• The sum of 4111's digits is 7
• More coming soon!