How many odd five-digit counting numbers can be formed by  choosing digits from the set $\{1, 2, 3, 4, 5, 6, 7\}$ if digits can be repeated?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many odd five-digit counting numbers can be formed by  choosing digits from the set $\{1, 2, 3, 4, 5, 6, 7\}$ if digits can be repeated?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
9604
How many odd five-digit counting numbers can be formed by  choosing digits from the set $\{1, 2, 3, 4, 5, 6, 7\}$ if digits can be repeated?
train