# 1307

## 1,307 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 1307 look like?

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

1307 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1307:

### 1307

See below for interesting mathematical facts about the number 1307 from the Numbermatics database.

### Names of 1307

• Cardinal: 1307 can be written as One thousand, three hundred seven.

### Scientific notation

• Scientific notation: 1.307 × 103

### Factors of 1307

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1307

### Divisors of 1307

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1308
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1307 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1306

### Bases of 1307

• Binary: 101000110112
• Base-36: 10B

### Squares and roots of 1307

• 1307 squared (13072) is 1708249
• 1307 cubed (13073) is 2232681443
• The square root of 1307 is 36.1524549651
• The cube root of 1307 is 10.9334828785

### Scales and comparisons

How big is 1307?
• 1,307 seconds is equal to 21 minutes, 47 seconds.
• To count from 1 to 1,307 would take you about twenty-one 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 1307 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1307

• 1307 backwards is 7031
• The number of decimal digits it has is: 4
• The sum of 1307's digits is 11
• More coming soon!