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:
1 2 4 8 211 422 844 1688
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
Hexadecimal: 0x698
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!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/1688/?utm_source=shared">Number 1688 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/1688/?utm_source=shared]Number 1688 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 1688 - Facts about the integer". Numbermatics.com. 2023. Web. 8 December 2023.

APA style:
Numbermatics. (2023). Number 1688 - Facts about the integer. Retrieved 8 December 2023, from https://numbermatics.com/n/1688/

Chicago style:
Numbermatics. 2023. "Number 1688 - Facts about the integer". https://numbermatics.com/n/1688/

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!

Keywords: Divisors of 1688, math, Factors of 1688, curriculum, school, college, exams, university, Prime factorization of 1688, STEM, science, technology, engineering, physics, economics, calculator, one thousand, six hundred eighty-eight.