# 173

## 173 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 173 look like?

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

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

## Prime factorization of 173:

### 173

See below for interesting mathematical facts about the number 173 from the Numbermatics database.

### Names of 173

• Cardinal: 173 can be written as One hundred seventy-three.

### Scientific notation

• Scientific notation: 1.73 × 102

### Factors of 173

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 173

### Divisors of 173

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 174
• Sum of proper divisors (its aliquot sum) s(n): 1
• 173 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 172

### Bases of 173

• Binary: 101011012
• Base-36: 4T

### Squares and roots of 173

• 173 squared (1732) is 29929
• 173 cubed (1733) is 5177717
• The square root of 173 is 13.1529464379
• The cube root of 173 is 5.5720546555

### Scales and comparisons

How big is 173?
• 173 seconds is equal to 2 minutes, 53 seconds.
• To count from 1 to 173 would take you about twenty-six 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 173 cubic inches would be around 0.5 feet tall.

### Recreational maths with 173

• 173 backwards is 371
• The number of decimal digits it has is: 3
• The sum of 173's digits is 11
• More coming soon!