# 557

## 557 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 557 look like?

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

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

## Prime factorization of 557:

### 557

See below for interesting mathematical facts about the number 557 from the Numbermatics database.

### Names of 557

• Cardinal: 557 can be written as Five hundred fifty-seven.

### Scientific notation

• Scientific notation: 5.57 × 102

### Factors of 557

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 557

### Divisors of 557

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 558
• Sum of proper divisors (its aliquot sum) s(n): 1
• 557 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 556

### Bases of 557

• Binary: 10001011012
• Base-36: FH

### Squares and roots of 557

• 557 squared (5572) is 310249
• 557 cubed (5573) is 172808693
• The square root of 557 is 23.6008474425
• The cube root of 557 is 8.2278253613

### Scales and comparisons

How big is 557?
• 557 seconds is equal to 9 minutes, 17 seconds.
• To count from 1 to 557 would take you about four 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 557 cubic inches would be around 0.7 feet tall.

### Recreational maths with 557

• 557 backwards is 755
• The number of decimal digits it has is: 3
• The sum of 557's digits is 17
• More coming soon!