A class is playing a math game in class. The teacher first writes an integer greater than 2000 and less than 3000 on the blackboard. The first student subtracts 1 from the number written by the teacher, then multiplies it by (3/4), and writes the result on the on the blackboard; the second student subtracts 1 from the number written by the first student, then multiplies it by (3/4), and then writes it on the blackboard; and so on. They are all integers, so what is the number that the fifth student wrote on the blackboard?
某班在课堂上进行数学游戏，教师先在黑板上写一个大于2000小于3000的整数，第一个学生将老师写的数减1，然后乘以(3/4)，将所得的结果写在黑板上；第二个学生再将第一个学生所写的数减1，然后乘以(3/4)，再写在黑板上；依此类推，全部写完后发现前5个学生写的都是整数，那么第五个学生在黑板上写的数是几？
<result>483</result>