Sigurdur Hjartarson is the curator of the Icelandic Phallological Museum. He has been collecting and exhibiting phalluses from the animal kingdom for almost 40 years, accumulating an amazing array of penises. The biggest specimen is from a sperm whale, and the smallest is from a hamster. He even has items from extinct animals. But Hjartarson laments: "I've got specimens from all mammalian species—except one: a proper human." (He sadly indicates the empty jar.) "Without the proper human, the collection is not complete."

Why is it so difficult to get a human penis for the museum? There are billions of them—they're all over the place. In fact, there are two men willing to donate their members. There is Icelander Pall Arason, a man in his 90s who is famous in his country as an adventurer and womanizer, and there is Tom Mitchell, a middle-aged California rancher who talks about his penis in the third person and says, "I've always thought it would be really cool for my penis to be the world's first true penis celebrity."

It's a race to the finish line. Who will prevail in getting his penis into the collection? Each donor has his benefits and drawbacks. One man seems a little too excited and starts making his own big plans for the display and marketing. And the other guy starts getting cold feet when his realizes his penis is shrinking as he gets older. What will Hjartarson do?

The documentary spirals into weirdness pretty quickly. There are bow ties made of whale penis skin, penis removal talk, and animal penises of all shapes and sizes. There are definitely some bizarre and unsettling moments. But overall, The Final Member is a fascinating look into the world of Icelandic penis collecting.