diff --git a/Orthtree/examples/Orthtree/orthtree_build.cpp b/Orthtree/examples/Orthtree/orthtree_build.cpp
index 114e709ad12..54d629a5916 100644
--- a/Orthtree/examples/Orthtree/orthtree_build.cpp
+++ b/Orthtree/examples/Orthtree/orthtree_build.cpp
@@ -12,14 +12,15 @@ using Kernel = CGAL::Epick_d<Dimension>;
 using Point_d = Kernel::Point_d;
 using Point_vector = std::vector<Point_d>;
 using Traits = CGAL::Orthtree_traits_point<Kernel, Point_vector>;
-using Orthtree = CGAL::Orthtree<Traits>;
+using Traits2 = CGAL::Orthtree_traits_point<Kernel, Point_vector, CGAL::Identity_property_map<typename std::iterator_traits<typename Point_vector::iterator>::value_type>, CGAL::Dimension_tag<4>>;
+using Orthtree = CGAL::Orthtree<Traits2>;
 
 int main()
 {
   CGAL::Random r;
 
   Point_vector points_dd;
-  for (std::size_t i = 0; i < 5; ++ i)
+  for (std::size_t i = 0; i < 500; ++ i)
   {
     std::array<double, Dimension::value> init{};
     for (double& v : init)
diff --git a/Orthtree/include/CGAL/Orthtree.h b/Orthtree/include/CGAL/Orthtree.h
index fea8a74713c..43d9c78c177 100644
--- a/Orthtree/include/CGAL/Orthtree.h
+++ b/Orthtree/include/CGAL/Orthtree.h
@@ -21,6 +21,7 @@
 #include <CGAL/Orthtree/IO.h>
 
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/NT_converter.h>
 #include <CGAL/Cartesian_converter.h>
 #include <CGAL/Property_container.h>
 #include <CGAL/property_map.h>
@@ -167,6 +168,7 @@ private: // data members :
   Node_property_container::Array <Maybe_node_index>& m_node_children;
 
   using Bbox_dimensions = std::array<CGAL::Exact_predicates_exact_constructions_kernel::FT, Dimension::value>;
+  CGAL::NT_converter<CGAL::Exact_predicates_exact_constructions_kernel::FT, typename Traits::Kernel::FT> conv;
   Bbox_dimensions m_bbox_min;
   std::vector<Bbox_dimensions> m_side_per_depth;      /* side length per node's depth */
 
@@ -473,7 +475,7 @@ public:
     using Cartesian_coordinate = std::array<FT, Dimension::value>;
     Cartesian_coordinate min_corner, max_corner;
     Bbox_dimensions size = m_side_per_depth[depth(n)];
-    CGAL::Cartesian_converter<CGAL::Exact_predicates_exact_constructions_kernel, typename Traits::Kernel> conv;
+
     for (int i = 0; i < Dimension::value; i++) {
       min_corner[i] = conv(m_bbox_min[i] + int(global_coordinates(n)[i]) * size[i]);
       max_corner[i] = conv(m_bbox_min[i] + int(global_coordinates(n)[i] + 1) * size[i]);
@@ -971,7 +973,7 @@ public:
       bary[i] = FT(global_coordinates(n)[i]) * size[i] + size[i] / FT(2) + m_bbox_min[i];
 
     // Convert that location into a point
-    CGAL::Cartesian_converter<CGAL::Exact_predicates_exact_constructions_kernel, typename Traits::Kernel> conv;
+
     std::array<typename Traits::Kernel::FT, Dimension::value> tmp;
     for (std::size_t i = 0; i < Dimension::value; i++)
       tmp[i] = conv(bary[i]);
diff --git a/Orthtree/include/CGAL/Orthtree_traits_base_for_dimension.h b/Orthtree/include/CGAL/Orthtree_traits_base_for_dimension.h
index ad55e7ba59d..8729fa9c98a 100644
--- a/Orthtree/include/CGAL/Orthtree_traits_base_for_dimension.h
+++ b/Orthtree/include/CGAL/Orthtree_traits_base_for_dimension.h
@@ -54,7 +54,7 @@ struct Orthtree_traits_base_for_dimension {
   auto construct_point_d_object() const {
     return [](auto... Args) -> Point_d {
       std::initializer_list<FT> args_list{Args...};
-      return Point_d{args_list.size(), args_list.begin(), args_list.end()};
+      return Point_d{static_cast<int>(args_list.size()), args_list.begin(), args_list.end()};
     };
   }
   /// @}