The 5 kilometer (5 K, 5000 meters, 3.1 miles) distance is popular for road races. It is perhaps the favorite first race for beginning road racers. This distance is long enough to provide a challenging goal for beginning runners. It is however not so long that the distance is intimidating to these beginning runners.
Experienced racers also run this distance. Many runners are interested in competing at this distance. Others use the distance as a speed workout to train for longer races. In addition to being a popular road racing distance, 5 K is a traditional track distance event. The 5 K or 3 mile distance is also a popular distance for high school cross country events.
The 10 kilometer (10 K, 10000 meters, 6.2 miles) distance is also quite popular. For runners who have completed a 5 K race, the 10 K is the next logical step up in distance. This distance marks a traditional boundary between middle and long distance races. It requires more training and preparation than a 5 K, but it is still not an intimidating distance.
Like the 5 K, experienced racers might run the 10 K distance either as a competition in itself or as speed training for longer distances. It is also a traditional track racing distance.
In metrically impaired countries such as the US, many runners prefer to run distances measured in miles rather than kilometers. So 5 and 10 miles races are also popular distances.
Half marathons (13.1 miles) are quite popular. The distance is long enough to provide a significant challenge, even for experienced runners. Runners who complete the distance will gain a sense of accomplishment just by finishing. However the distance is not so long that it requires the intense training or long recovery time of a full marathon.
Many runners consider the marathon to be the ultimate distance goal and challenge. The marathon therefore has a certain cachet that no other distance has.
Don't ask a runner who has just finished a marathon how long it was. All marathons are the same standard distance: 26 miles 385 yards, 26.2 miles, or 42.2 kilometers. Any other distance may be a long challenging race, but it is not a marathon.
This distance is long enough that any one who completes a marathon, no matter how long it takes, is a serious endurance athlete. The last person to cross the finish line can feel the same sense of victory (and exhaustion) as the first.
Runners who seek challenges beyond the marathon run ultramarathons. An ultramarathon is any distance longer than 26.2 miles. Popular ultramarathon distances are: 50 kilometers, 50 miles, 100 kilometers, and 100 miles.