MHB Solving Sigma(210): Step-by-Step Guide

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The discussion revolves around solving the sigma function for the number 210, specifically the sum-of-divisors function. Participants clarify that sigma refers to this mathematical function, which calculates the sum of all positive divisors of a number. The solution provided indicates that σ(210) equals 576. Users are encouraged to use proper formatting for mathematical expressions to enhance clarity. The thread emphasizes the importance of understanding the sigma function in mathematical contexts.
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how to solve this problem
Find sigma(210)\sigma\sigma
 
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Hi, and welcome to the forum!

Vi Nguyen said:
how to solve this problem
Find sigma(210)\sigma\sigma
I am not sure what sigma ($\Sigma$ or $\sigma$) means in your problem. Perhaps you can use the formula editor to the right of the edit box to enter the formula exactly as it appears in the problem statement, as well as the complete problem statement itself. LaTeX symbol codes (they start with a backslash) should be enclosed in the $$...$$ tags.
 
Vi Nguyen said:
how to solve this problem
Find sigma(210)\sigma\sigma

Hi Vi Nguyen! Welcome to MHB! ;)

The only sigma function I know, is the sum-of-divisors function. See https://en.m.wikipedia.org/wiki/Divisor_function .

In that case we have:
$$\sigma(210)=576$$
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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