# 2117

## 2,117 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2117 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

2117 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 2117:

### 29 × 73

See below for interesting mathematical facts about the number 2117 from the Numbermatics database.

### Names of 2117

• Cardinal: 2117 can be written as Two thousand, one hundred seventeen.

### Scientific notation

• Scientific notation: 2.117 × 103

### Factors of 2117

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 102

### Divisors of 2117

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 2220
• Sum of proper divisors (its aliquot sum) s(n): 103
• 2117 is a deficient number, because the sum of its proper divisors (103) is less than itself. Its deficiency is 2014

### Bases of 2117

• Binary: 1000010001012
• Base-36: 1MT

### Squares and roots of 2117

• 2117 squared (21172) is 4481689
• 2117 cubed (21173) is 9487735613
• The square root of 2117 is 46.0108682811
• The cube root of 2117 is 12.8402541333

### Scales and comparisons

How big is 2117?
• 2,117 seconds is equal to 35 minutes, 17 seconds.
• To count from 1 to 2,117 would take you about thirty-five 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 2117 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2117

• 2117 backwards is 7112
• The number of decimal digits it has is: 4
• The sum of 2117's digits is 11
• More coming soon!