There's no single number. The inductance will vary with plunger position. Since it's a DC solenoid, the core and plunger are probably solid iron, not laminated, so the inductance will also vary with frequency.
inductance is an AC quantity, that also functions at DC over
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short-
time. kinda strange- isnt it.
measure it with an AC voltage source and some resistors in a series circuit and a voltmeter. then caLculate using the frequency and voltage ratios and resistances. Im not writing the circuits course out here- there are plenty of other places that tell this method already but you DONT need fancy instruments to do it. you can do it just fine with a train transformer (60 hz AC at say 24VAC output ) and a voltmeter and some resistors.