I found at passenger mainfest for Sarkis Adajian on www.ellisisland.org
. The date of arrival is March 14, 1913. He was 20 years old on date of arrival and traveled on the ship "Chicago". It listed his hometown as Kheder, Turkey and his ethnicity as Armenian. It's possible that the last name was spelled incorrectly on the manifest, that's what happened to me when I tried looking for my family.
I hope that helps!