Fugitives from the Hungaria region: Close encounters and impacts with terrestrial planets

•The majority of the Hungaria escapers become NEAs.•The Hungaria asteroids form 2.8% of the Mars impactors population.•Hungaria encounter velocities are larger than for average Earth and Venus crossers.•All the fugitives become Mars-crossers and at least 91% of them are PCAs in 100 Myr.•From our original Hungaria sample the maximum release of NEAs is after 60 My.

Hungaria asteroids, whose orbits occupy the region in element space between 1.78