# 1693

## 1,693 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 1693 look like?

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

1693 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1693:

### 1693

See below for interesting mathematical facts about the number 1693 from the Numbermatics database.

### Names of 1693

• Cardinal: 1693 can be written as One thousand, six hundred ninety-three.

### Scientific notation

• Scientific notation: 1.693 × 103

### Factors of 1693

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1693

### Divisors of 1693

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1694
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1693 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1692

### Bases of 1693

• Binary: 110100111012
• Base-36: 1B1

### Squares and roots of 1693

• 1693 squared (16932) is 2866249
• 1693 cubed (16933) is 4852559557
• The square root of 1693 is 41.1460812229
• The cube root of 1693 is 11.9184282419

### Scales and comparisons

How big is 1693?
• 1,693 seconds is equal to 28 minutes, 13 seconds.
• To count from 1 to 1,693 would take you about twenty-eight 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 1693 cubic inches would be around 1 feet tall.

### Recreational maths with 1693

• 1693 backwards is 3961
• The number of decimal digits it has is: 4
• The sum of 1693's digits is 19
• More coming soon!