# 1688

## 1,688 is an even composite number composed of two prime numbers multiplied together.

What does the number 1688 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

1688 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1688:

### 23 × 211

(2 × 2 × 2 × 211)

See below for interesting mathematical facts about the number 1688 from the Numbermatics database.

### Names of 1688

• Cardinal: 1688 can be written as One thousand, six hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.688 × 103

### Factors of 1688

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 213

### Divisors of 1688

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 3180
• Sum of proper divisors (its aliquot sum) s(n): 1492
• 1688 is a deficient number, because the sum of its proper divisors (1492) is less than itself. Its deficiency is 196

### Bases of 1688

• Binary: 110100110002
• Base-36: 1AW

### Squares and roots of 1688

• 1688 squared (16882) is 2849344
• 1688 cubed (16883) is 4809692672
• The square root of 1688 is 41.0852771683
• The cube root of 1688 is 11.9066836263

### Scales and comparisons

How big is 1688?
• 1,688 seconds is equal to 28 minutes, 8 seconds.
• To count from 1 to 1,688 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 1688 cubic inches would be around 1 feet tall.

### Recreational maths with 1688

• 1688 backwards is 8861
• The number of decimal digits it has is: 4
• The sum of 1688's digits is 23
• More coming soon!

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The information we have on file for 1688 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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