Question 23
Travis has to babysit the terrible Thompson triplets. Knowing that they love big numbers, Travis devises a counting game for them. First Tadd will say the number $1,$ then Todd must say the next two numbers ($2$ and $3$), then Tucker must say the next three numbers ($4,$ $5,$ $6$), then Tadd must say the next four numbers ($7,$ $8,$ $9,$ $10$), and the process continues to rotate through the three children in order, each saying one more number than the previous child did, until the number $10{,}000$ is reached. What is the $2019$th number said by Tadd?