Such an interesting game! The hint box was really helpful since it showed the prime factorisation and operations results which made the game a lot more fun to optimize for the least moves. Though giving the "-1" and "/2" operator is way too OP since I can always generate an even number by using "-1" then use "/2" to cut it in half, it makes the game extremely trival since this strategy will always work. I like the concept since it forces me to make observations with numbers.
Also: please limit the division operator to give the players prime numbers only! Since giving me a "/4" operator when I already have a "/2" operator does nothing apart from just saving me one operation, I'd always choose another one so I have more chances to shrink the number
Rotation of numbers could probably be better rewritten into "shift right" or "shift left" instead of rotate. I love the concept!