# 307

## 307 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 307 look like?

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

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

## Prime factorization of 307:

### 307

See below for interesting mathematical facts about the number 307 from the Numbermatics database.

### Names of 307

• Cardinal: 307 can be written as Three hundred seven.

### Scientific notation

• Scientific notation: 3.07 × 102

### Factors of 307

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 307

### Divisors of 307

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 308
• Sum of proper divisors (its aliquot sum) s(n): 1
• 307 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 306

### Bases of 307

• Binary: 1001100112
• Base-36: 8J

### Squares and roots of 307

• 307 squared (3072) is 94249
• 307 cubed (3073) is 28934443
• The square root of 307 is 17.5214154681
• The cube root of 307 is 6.7459967117

### Scales and comparisons

How big is 307?
• 307 seconds is equal to 5 minutes, 7 seconds.
• To count from 1 to 307 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 307 cubic inches would be around 0.6 feet tall.

### Recreational maths with 307

• 307 backwards is 703
• The number of decimal digits it has is: 3
• The sum of 307's digits is 10
• More coming soon!