# 1303

## 1,303 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 1303 look like?

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

1303 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1303:

### 1303

See below for interesting mathematical facts about the number 1303 from the Numbermatics database.

### Names of 1303

• Cardinal: 1303 can be written as One thousand, three hundred three.

### Scientific notation

• Scientific notation: 1.303 × 103

### Factors of 1303

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1303

### Divisors of 1303

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1304
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1303 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1302

### Bases of 1303

• Binary: 101000101112
• Base-36: 107

### Squares and roots of 1303

• 1303 squared (13032) is 1697809
• 1303 cubed (13033) is 2212245127
• The square root of 1303 is 36.0970912955
• The cube root of 1303 is 10.9223177109

### Scales and comparisons

How big is 1303?
• 1,303 seconds is equal to 21 minutes, 43 seconds.
• To count from 1 to 1,303 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 1303 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1303

• 1303 backwards is 3031
• The number of decimal digits it has is: 4
• The sum of 1303's digits is 7
• More coming soon!