1. Loan amount: Loans overdue by several thousand yuan may be recovered by creditors through judicial channels, but usually small debts may be solved by other means.

2. Lending institution policy: Different online lending platforms and lending institutions have different policies when dealing with overdue debts. Some institutions may prefer to negotiate with borrowers, while others may take legal measures.

3. Overdue time and behavior: The length of overdue time and the borrower's repayment attitude and behavior will also affect whether the creditor chooses to sue. Long-term non-repayment or deliberate evasion of repayment may increase the risk of being sued.

To sum up, overdue debts of several thousand yuan may lead to prosecution, but the specific situation needs to consider factors such as loan amount, lending institution policy, overdue time and behavior. If faced with overdue debts, it is wise to communicate with creditors as soon as possible and seek solutions.

Please note that this is only a general answer and cannot replace legal advice. The specific situation also needs to refer to relevant laws and policies. )