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DeutschFile:Aliquot sums and untouchable numbers.pdf
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Summary
| Description | English: Diagram showing the map from positive integers to their aliquot sums (sum of all proper divisors), highlighting the "untouchable numbers" 2 and 5 that are not in the image. Source code: \documentclass{standalone} \usepackage{graphicx} % for \scalebox \usepackage{tikz} \usetikzlibrary{arrows.meta} % for more arrow tip styles \begin{document} \scalebox{2.0}{ % scale factor for Mediawiki rasterization \begin{tikzpicture}[>={Stealth}, every node/.style={circle, draw, minimum size=0.5cm}, yscale=-1] % Nodes on the left \node (L1) at (0,1) {1}; \node (L2) at (0,2) {2}; \node (L3) at (0,3) {3}; \node (L4) at (0,4) {4}; \node (L5) at (0,5) {5}; \node (L6) at (0,6) {6}; \node (L7) at (0,7) {7}; \node (L8) at (0,8) {8}; \node (L9) at (0,9) {9}; \node (L10) at (0,10) {10}; % Ellipsis \node[draw=none] at (0,11) {\vdots}; % Nodes on the right \node[fill=green!40] (R0) at (2,0) {0}; \node[fill=green!40] (R1) at (2,1) {1}; \node[fill= red!40] (R2) at (2,2) {2}; \node[fill=green!40] (R3) at (2,3) {3}; \node[fill=green!40] (R4) at (2,4) {4}; \node[fill= red!40] (R5) at (2,5) {5}; \node[fill=green!40] (R6) at (2,6) {6}; \node[fill=green!40] (R7) at (2,7) {7}; \node[fill=green!40] (R8) at (2,8) {8}; % Ellipsis \node[draw=none] at (2,9) {\vdots}; % Edges \begin{scope} \draw[>->] (L1) -- (R0); \draw[>->] (L2) -- (R1); \draw[>->] (L3) -- (R1); \draw[>->] (L4) -- (R3); \draw[>->] (L5) -- (R1); \draw[>->] (L6) -- (R6); \draw[>->] (L7) -- (R1); \draw[>->] (L8) -- (R7); \draw[>->] (L9) -- (R4); \draw[>->] (L10) -- (R8); \end{scope} \end{tikzpicture} } % end of \scalebox \end{document} |
| Date | |
| Source | Own work |
| Author | Shreevatsa |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:40, 27 August 2023 |  | 360 × 1,385 (7 KB) | Shreevatsa | Used scalebox to correct for poor rasterization |
| 03:27, 27 August 2023 |  | 166 × 691 (16 KB) | Shreevatsa | Uploaded while editing "Untouchable number" on en.wikipedia.org |
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