Interesting but useless equation?

[eliudthorn]

Can anyone tell me what this is?

My son created it as an entertaining exercise -- he says it transposes positive integers. Is he right?

$\left(n\right)=\sum_{k=0}^{[log_b\left(n\right)]}\left(b^k\left(\left\lfloor \frac{n}{b^{\left\lceil log_b\left(n\right)\right\rceil}-k-1}\right\rfloor \%b \right)\right)$% represents modulus and b represents the base of the number being transposed (e.g., 10). Sorry if this is not the appropriate forum (Calculus & Analysis). Please attribute that to ignorance rather than to apathy.

Thanks for your help.

 

[mathman]

Your latex isn't working.

 

[eliudthorn]

Thank you mathman. I think the latex is fixed.