# 117

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

What does the number 117 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

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

## Prime factorization of 117:

### 32 × 13

(3 × 3 × 13)

See below for interesting mathematical facts about the number 117 from the Numbermatics database.

### Names of 117

• Cardinal: 117 can be written as One hundred seventeen.

### Scientific notation

• Scientific notation: 1.17 × 102

### Factors of 117

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 16

### Divisors of 117

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 182
• Sum of proper divisors (its aliquot sum) s(n): 65
• 117 is a deficient number, because the sum of its proper divisors (65) is less than itself. Its deficiency is 52

### Bases of 117

• Binary: 11101012
• Base-36: 39

### Squares and roots of 117

• 117 squared (1172) is 13689
• 117 cubed (1173) is 1601613
• The square root of 117 is 10.8166538263
• The cube root of 117 is 4.8909732465

### Scales and comparisons

How big is 117?
• 117 seconds is equal to 1 minute, 57 seconds.
• To count from 1 to 117 would take you about fifty-eight 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 117 cubic inches would be around 0.4 feet tall.

### Recreational maths with 117

• 117 backwards is 711
• 117 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 117's digits is 9
• More coming soon!