For some stuffy reason, UnitConvert refuses to convert square degrees to steradians. An ill-chosen web page said there were 41253 square degrees in a sphere. (It didn't even say "approximately".) What is this number, exactly? It's pretty trivial to Google, but it's also easy just to guess. It's presumably some product of small rationals and π. FindIntegerNullVector[Log[{41253, 2, π, 3, 5, 7}]] FindIntegerNullVector::rnfu: FindIntegerNullVector has not found an integer null vector for {Log[41253],Log[2],Log[\[Pi]],Log[3],Log[5],Log[7]}. Don't underrate LatticeReduce! For N digit accuracy, you might want to keep this two-liner handy: LR[L_, N_] := Block[{$MaxExtraPrecision = N}, LatticeReduce[Transpose[Prepend[IdentityMatrix[Length[L]], Round[10^N*L]]]]] For six digits, In[114]:= LR[Log[{41253, 2, π, 3, 5, 7}], 6] Out[114]= {{3, 1, -6, 1, -4, -2, 0}, {10, 1, 3, -12, -7, 3, 2}, {9, 1, 12, 2, -4, -2, -7}, {-2, 1, -1, -4, 0, -13, 8}, {6, -1, -9, 1, 17, 3, -4}, {2, -5, 3, 4, -3, 14, 14}} The first vector is always shortest. Its first component, 3, is the error. This looks like the answer, since the exponents of 41253 and 7 are respectively 1 and 0: In[115]:= {2, π, 3, 5, 7}^{-6, 1, -4, -2, 0} Out[115]= {1/64, \[Pi], 1/81, 1/25, 1} In[117]:= Times @@ %% Out[117]= \[Pi]/129600 I.e., 1 ~ 41253 ⨉ π/360², a satisfying mixture of π, "degrees", and "square". —rwg