Variable-pitch fan with low pitch of a turbine engine

A turbine engine comprising a fan housed in a fan casing, said fan comprising:

• a disk of annular overall shape and defining an axis of revolution of the fan, said disk being provided with blades at its periphery, said blades being pivotally mounted on the disk around a pivoting axis and having a center of gravity, and
• a pitch change mechanism of said blades, said mechanism being configured to adjust an angular position of each blade around the pivoting axis,
• wherein each blade has a first portion, which extends in an airstream of the fan and a second portion, which extends outside said airstream, a center of gravity of the second portion of the blade extending substantially on the pivoting axis while a center of gravity of the first portion of the blade is offset with respect to said pivoting axis by being on or at a small distance from a fictitious plane which passes through the pivoting axis of said blade and which is perpendicular to the axis of revolution of the fan when the blade is in a minimum drag position.