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174 (number)


FieldValue
number174
divisor1, 2, 3, 6, 29, 58, 87, 174

174 (one hundred [and] seventy-four) is the natural number following 173 and preceding 175.

In mathematics

There are 174 7-crossing semi-meanders, ways of arranging a semi-infinite curve in the plane so that it crosses a straight line seven times. There are 174 invertible 3\times 3 (0,1)-matrices.{{cite journal

The Mordell curve y^2=x^3-174 has rank three, and 174 is the smallest positive integer for which y^2=x^3-k has this rank. The corresponding number for curves y^2=x^3+k is 113.{{cite journal | doi-access = free

References

References

  1. {{cite OEIS. A000682. Semi-meanders: number of ways a semi-infinite directed curve can cross a straight line n times
  2. {{cite OEIS. A055165. Number of invertible n X n matrices with entries equal to 0 or 1
  3. {{cite OEIS. A031508
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