diff --git a/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingInteropContainer.desktop.kt b/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingInteropContainer.desktop.kt
index 87a51bd0ccb5a..741910f5bcf61 100644
--- a/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingInteropContainer.desktop.kt
+++ b/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingInteropContainer.desktop.kt
@@ -60,12 +60,14 @@ internal class SwingInteropContainer(
     private var interopComponents = mutableMapOf<Component, InteropComponent>()
 
     override var rootModifier: TrackInteropModifierNode<InteropComponent>? = null
+    override val interopViews: Set<InteropComponent>
+        get() = interopComponents.values.toSet()
 
     override fun addInteropView(nativeView: InteropComponent) {
         val component = nativeView.container
         val nonInteropComponents = container.componentCount - interopComponents.size
         // AWT uses the reverse order for drawing and events, so index = size - count
-        val index = maxOf(0, interopComponents.size - countInteropComponentsBefore(nativeView))
+        val index = interopComponents.size - countInteropComponentsBefore(nativeView)
         interopComponents[component] = nativeView
         container.add(component, if (placeInteropAbove) {
             index
diff --git a/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingPanel.desktop.kt b/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingPanel.desktop.kt
index 446fa03d950d9..40b53da9e99a3 100644
--- a/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingPanel.desktop.kt
+++ b/compose/ui/ui/src/desktopMain/kotlin/androidx/compose/ui/awt/SwingPanel.desktop.kt
@@ -188,7 +188,7 @@ private class SwingPanelContainer(
     private val focusComponent: Component
 ): JPanel() {
     init {
-        name = "SwingPanel #$key"
+        name = "SwingPanel #${key.toString(MaxSupportedRadix)}"
         layout = null
         focusTraversalPolicy = object : LayoutFocusTraversalPolicy() {
             override fun getComponentAfter(aContainer: Container?, aComponent: Component?): Component? {
@@ -398,3 +398,8 @@ private class InteropPointerInputModifier<T : Component>(
         return SwingUtilities.getDeepestComponentAt(parent, point.x, point.y)
     }
 }
+
+/**
+ * The maximum radix available for conversion to and from strings.
+ */
+private val MaxSupportedRadix = 36
diff --git a/compose/ui/ui/src/skikoMain/kotlin/androidx/compose/ui/node/InteropContainer.kt b/compose/ui/ui/src/skikoMain/kotlin/androidx/compose/ui/node/InteropContainer.kt
index 56715e32e526a..b761528452f94 100644
--- a/compose/ui/ui/src/skikoMain/kotlin/androidx/compose/ui/node/InteropContainer.kt
+++ b/compose/ui/ui/src/skikoMain/kotlin/androidx/compose/ui/node/InteropContainer.kt
@@ -29,6 +29,7 @@ import androidx.compose.ui.node.TraversableNode.Companion.TraverseDescendantsAct
  */
 internal interface InteropContainer<T> {
     var rootModifier: TrackInteropModifierNode<T>?
+    val interopViews: Set<T>
 
     fun addInteropView(nativeView: T)
     fun removeInteropView(nativeView: T)
@@ -44,7 +45,11 @@ internal fun <T> InteropContainer<T>.countInteropComponentsBefore(nativeView: T)
     var componentsBefore = 0
     rootModifier?.traverseDescendants {
         if (it.nativeView != nativeView) {
-            componentsBefore++
+            // It might be inside Compose tree before adding in InteropContainer in case
+            // if it was initiated out of scroll visible bounds for example.
+            if (it.nativeView in interopViews) {
+                componentsBefore++
+            }
             ContinueTraversal
         } else {
             CancelTraversal
diff --git a/compose/ui/ui/src/uikitMain/kotlin/androidx/compose/ui/interop/UIKitInteropContainer.uikit.kt b/compose/ui/ui/src/uikitMain/kotlin/androidx/compose/ui/interop/UIKitInteropContainer.uikit.kt
index ccfd9b2c6674c..94dad704884a3 100644
--- a/compose/ui/ui/src/uikitMain/kotlin/androidx/compose/ui/interop/UIKitInteropContainer.uikit.kt
+++ b/compose/ui/ui/src/uikitMain/kotlin/androidx/compose/ui/interop/UIKitInteropContainer.uikit.kt
@@ -44,14 +44,18 @@ internal val LocalUIKitInteropContainer = staticCompositionLocalOf<UIKitInteropC
 internal class UIKitInteropContainer: InteropContainer<UIView> {
     val containerView: UIView = UIKitInteropContainerView()
     override var rootModifier: TrackInteropModifierNode<UIView>? = null
+    override var interopViews = mutableSetOf<UIView>()
+        private set
 
     override fun addInteropView(nativeView: UIView) {
         val index = countInteropComponentsBefore(nativeView)
+        interopViews.add(nativeView)
         containerView.insertSubview(nativeView, index.toLong())
     }
 
     override fun removeInteropView(nativeView: UIView) {
         nativeView.removeFromSuperview()
+        interopViews.remove(nativeView)
     }
 }