Use the following two methods to process any natural number n greater than 1 to form a new number: 1. If n is a prime number, add 1 to n; 2. If n is a composite number, decompose n into the product of prime factors , adding up all the prime factors obtained. If the new numbers continue to be processed according to the above method, a set of new numbers can be obtained. If n=1997, 1997 is a prime number), how many different numbers are there in the obtained set of new numbers?
将任意一个大于1的自然数n，按一下两种方法处理，构成新数：1、如果n是质数，则将n加1；2、如果n是合数，则将n分解成质因数的积，把所得的所有的质因数相加．若将新数继续按以上的方法处理，则可以得到一组新数．若取n=1997,1997是质数)，则得到的一组新数中共有多少个不同的数．
<gadget id="calculator">2 + 2 + 3</gadget>
<output>7</output>

<gadget id="calculator">7 + 1</gadget>
<output>8</output>

<result>8</result>