------
## 最终结论
```python
def breakSum(n):
    if n < 12:
        return n
    return max(n, breakSum(n // 2) + breakSum(n // 3) + breakSum(n // 4))

# Test cases
assert breakSum(12) == 13
assert breakSum(24) == 27
assert breakSum(23) == 23
```