increment 1

maths/BasicMaths.py

@@ -0,0 +1,74 @@
+import math
+
+def primeFactors(n):
+    pf = []
+    while n % 2 == 0:
+        pf.append(2)
+        n = int(n / 2)
+        
+    for i in range(3, int(math.sqrt(n))+1, 2):
+        while n % i == 0:
+            pf.append(i)
+            n = int(n / i)
+    
+    if n > 2:
+        pf.append(n)
+    
+    return pf
+
+def numberOfDivisors(n):
+    div = 1
+    
+    temp = 1
+    while n % 2 == 0:
+        temp += 1
+        n = int(n / 2)
+    div = div * (temp) 
+    
+    for i in range(3, int(math.sqrt(n))+1, 2):
+        temp = 1
+        while n % i == 0:
+            temp += 1
+            n = int(n / i)
+        div = div * (temp)
+    
+    return div
+
+def sumOfDivisors(n):
+    s = 1
+    
+    temp = 1
+    while n % 2 == 0:
+        temp += 1
+        n = int(n / 2)
+    if temp > 1:
+        s *= (2**temp - 1) / (2 - 1) 
+    
+    for i in range(3, int(math.sqrt(n))+1, 2):
+        temp = 1
+        while n % i == 0:
+            temp += 1
+            n = int(n / i)
+        if temp > 1:
+            s *= (i**temp - 1) / (i - 1)
+    
+    return s
+
+def eulerPhi(n):
+    l = primeFactors(n)
+    l = set(l)
+    s = n
+    for x in l:
+        s *= (x - 1)/x 
+    return s   
+
+def main():
+    print(primeFactors(100))
+    print(numberOfDivisors(100))
+    print(sumOfDivisors(100))
+    print(eulerPhi(100))
+    
+if __name__ == '__main__':
+    main()
+    
+