Alright, let's work through 4003 times 4174 step by step
4003 × 4174 = 4174 × (4003)
+ 4174 × 3 giving us 12522
+ 4174 × 00 that equals 0
+ 4174 × 000 which equals 0
+ 4174 × 4000 what gives us 16696000

= 16708522
