205842

205,842 is an even composite number composed of five prime numbers multiplied together.

What does the number 205842 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

205842 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 205842:

2 × 3 × 7 × 13² × 29

(2 × 3 × 7 × 13 × 13 × 29)

See below for interesting mathematical facts about the number 205842 from the Numbermatics database.

Names of 205842

Cardinal: 205842 can be written as Two hundred five thousand, eight hundred forty-two.

Scientific notation

Scientific notation: 2.05842 × 10⁵

Factors of 205842

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 54

Divisors of 205842

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 1014 1131 1183 1218 2262 2366 2639 3549 4901 5278 7098 7917 9802 14703 15834 29406 34307 68614 102921 205842
Sum of all divisors σ(n): 527040
Sum of proper divisors (its aliquot sum) s(n): 321198
205842 is an abundant number, because the sum of its proper divisors (321198) is greater than itself. Its abundance is 115356

Bases of 205842

Binary: 110010010000010010₂
Hexadecimal: 0x32412
Base-36: 4ETU

Squares and roots of 205842

205842 squared (205842²) is 42370928964
205842 cubed (205842³) is 8721716759807688
The square root of 205842 is 453.6981375319
The cube root of 205842 is 59.0443026439

Scales and comparisons

How big is 205842?

205,842 seconds is equal to 2 days, 9 hours, 10 minutes, 42 seconds.
To count from 1 to 205,842 would take you about two days.

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 205842 cubic inches would be around 4.9 feet tall.

Recreational maths with 205842

205842 backwards is 248502
205842 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 205842's digits is 21
More coming soon!

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The information we have on file for 205842 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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