Nursullah Dautov died in intensive care in a hospital in Ufa, the capital of Russia's Bashkortostan republic, where he was brought on 9 February.
Russian news agencies quoted witnesses as saying Dautov was brought to hospital with serious injuries two days after he was beaten up by fellow servicemen.
Prosecutors have opened a criminal investigation.
Russia's Defense Ministry today said 53 servicemen died last month as a result of crimes and accidents. Fourteen of those committed suicide.
Russian lawmakers have scheduled discussions this week on the situation in the Russian Army following a brutal hazing incident over the New Year’s holiday that left one conscript maimed for life.