# 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!