# Do you know its property ?-7

**Discrete Mathematics**Level 3

The number of *non-negative* integral solutions of the inequality \( x+y+z \leq 1729\) is **RN**.

Find the digit sum of **RN**.

**Details and Assumptions ;**

1. Digit sum refers to the sum of the digits. For instance, digit sum of \(1729\) is \(1+7+2+9=19\)

2. **RN** I used for \(Ramanujan Number\) **(Just for fun)**

You can try more such problems of the set Do you know its property ?