
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let  $d(m)$  denote the number of positive integer divisors of a positive integer  $m$ . If  $r$  is the number of integers   $n \leqslant 2023$  for which  $\sum_{i=1}^{n} d(i)$  is odd. , find the sum of digits of  $r.$ 

Present the answer in LaTex format: \boxed{Your answer}
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