The 100 athletes are numbered from 1 to 100. If each athlete writes the largest odd factor in his number on the blackboard, what is the sum of the numbers written by all athletes on the blackboard?
100名运动员的编号是从1到100．若每个运动员在黑板上写下自己编号中的最大奇因子，那么所有运动员在黑板上写下的数的总和是多少？
<gadget id="calculator">1 + 11</gadget>
<output>12</output>

<gadget id="calculator">11 - 1</gadget>
<output>10</output>

<gadget id="calculator">10 / 2</gadget>
<output>5</output>

<gadget id="calculator">5 + 1</gadget>
<output>6</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">12 * 3</gadget>
<output>36</output>

<gadget id="calculator">1 + 25</gadget>
<output>26</output>

<gadget id="calculator">25 - 1</gadget>
<output>24</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">12 + 1</gadget>
<output>13</output>

<gadget id="calculator">13 / 2</gadget>
<output>13/2 = around 6.5</output>

<gadget id="calculator">26 * (13/2)</gadget>
<output>169</output>

<gadget id="calculator">1 + 49</gadget>
<output>50</output>

<gadget id="calculator">49 - 1</gadget>
<output>48</output>

<gadget id="calculator">48 / 2</gadget>
<output>24</output>

<gadget id="calculator">24 + 1</gadget>
<output>25</output>

<gadget id="calculator">25 / 2</gadget>
<output>25/2 = around 12.5</output>

<gadget id="calculator">50 * (25/2)</gadget>
<output>625</output>

<gadget id="calculator">99 + 1</gadget>
<output>100</output>

<gadget id="calculator">99 - 1</gadget>
<output>98</output>

<gadget id="calculator">98 / 2</gadget>
<output>49</output>

<gadget id="calculator">49 + 1</gadget>
<output>50</output>

<gadget id="calculator">50 / 2</gadget>
<output>25</output>

<gadget id="calculator">100 * 25</gadget>
<output>2_500</output>

<gadget id="calculator">1 + 4 + 9 + 36 + 169 + 625 + 2_500</gadget>
<output>3_344</output>

<result>3_344</result>