Data update

Task/Tau-function/Dart/tau-function.dart

@@ -0,0 +1,22 @@
+int divisorCount(int n) {
+  int total = 1;
+  // Deal with powers of 2 first
+  for (; (n & 1) == 0; n >>= 1) total++;
+  // Odd prime factors up to the square root
+  for (int p = 3; p * p <= n; p += 2) {
+    int count = 1;
+    for (; n % p == 0; n ~/= p) count++;
+    total *= count;
+  }
+  // If n > 1 then it's prime
+  if (n > 1) total *= 2;
+  return total;
+}
+
+void main() {
+  const int limit = 100;
+  print("Count of divisors for the first $limit positive integers:");
+  for (int n = 1; n <= limit; ++n) {
+    print(divisorCount(n).toString().padLeft(3));
+  }
+}