# 257

## 257 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 257 look like?

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

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

## Prime factorization of 257:

### 257

See below for interesting mathematical facts about the number 257 from the Numbermatics database.

### Names of 257

• Cardinal: 257 can be written as Two hundred fifty-seven.

### Scientific notation

• Scientific notation: 2.57 × 102

### Factors of 257

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 257

### Divisors of 257

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 258
• Sum of proper divisors (its aliquot sum) s(n): 1
• 257 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 256

### Bases of 257

• Binary: 1000000012
• Base-36: 75

### Squares and roots of 257

• 257 squared (2572) is 66049
• 257 cubed (2573) is 16974593
• The square root of 257 is 16.0312195417
• The cube root of 257 is 6.3578611797

### Scales and comparisons

How big is 257?
• 257 seconds is equal to 4 minutes, 17 seconds.
• To count from 1 to 257 would take you about two 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 257 cubic inches would be around 0.5 feet tall.

### Recreational maths with 257

• 257 backwards is 752
• The number of decimal digits it has is: 3
• The sum of 257's digits is 14
• More coming soon!

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The information we have on file for 257 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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