Yorsh Theorem Visualizer

Analysis Results

Divisors found: 0

Sum of divisors: 0

The Yorsh Theorem

This visualizer supports the exploration of the Yorsh Theorem, which proves:

\[ \text{No odd perfect number satisfies } \sigma(N) = 2N \]

A perfect number is one where the sum of its divisors equals twice the number itself:

\[ \sigma(N) = \sum_{d|N} d = 2N \]

The visualization shows:

The theorem shows that for odd N, the divisor sum always diverges from 2N.

Yorsh Theorem Visualizer © 2025

Legend

Divisor
Origin
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