D.Series of $\sigma$

What is special about the sequence below ?

$8505 , 85050 , 850500 , 8505000 , ......$

#NumberTheory

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Comments

All that i can see is your question and $\displaystyle \sum _{ n=1 }^{ \infty }{ \frac { { \sigma }_{ 2 }\left( n \right) }{ { n }^{ 6 } } } =\frac { { \pi }^{ 6 } }{ 945 } \times \frac { { \pi }^{ 4 } }{ 90 } =\frac { { \pi }^{ 10 } }{ 85050 }$

Joel Yip - 5 years ago

Yes you are right Joel.

A Former Brilliant Member - 5 years ago

Go further .... Try with sigma_3

A Former Brilliant Member - 5 years ago

That will give odd zetas

Joel Yip - 5 years ago

It will give odd zeta which is what you do not what as they are irreducable

Joel Yip - 5 years ago

@Joel Yip – Sorry not with odd zetas try with even zetas andbakso change power of n with change in sigma_x

A Former Brilliant Member - 5 years ago

Can you actually find 8505000 or 8505?

Joel Yip - 5 years ago

Next number 85050000. @Chinmay Sangawadekar