Hurt in Finnish

[cssc]

This is "I am hurt/injured." Right?

olen satuttanut

Would using this form of the verb "sattua" here be wrong?
Examples appreciated. Thanks!

[jahasjahas]

"Olen satuttanut (Pekkaa)" = I have hurt (Pekka)

"Olen loukkaantunut." = I'm injured. (Though also "I'm insulted."

"Olen loukannut/satuttanut käteni" = I have injured my hand.

"Käteeni sattuu." = My hand hurts.

"Minuun sattuu." = I'm hurting.

[Pursuivant]

Note:

Olen satuttanut Pekkaa. Pekka on loukkaantunut. (Whacked him with the axe)

Olen loukannut Pekkaa. Pekka on loukkaantunut. (Told him hes not the sharpest axe)

[cssc]

So if I say just "Satutan", that means 'I hurt myself'?

[Jukka Aho]

So if I say just "Satutan", that means 'I hurt myself'?

For that, you’d need “Satutan itseäni.”

Mere...

Satutan.

...needs more context to appear sensible. It would work as an answer to a question.

For example, a scene in a movie whose main character is called Hannibal Lecter might contain the following dialog:

— Jos avaan käsirautasi, satutatko minua?
— Satutan.

(The “Finnish way” of answering questions affirmatively is repeating the verb in the question.)

[Pursuivant]

Also, its close but don't get mixed up with "sattua" as in "to happen".

Nyrkkeilijä sai neniinsä.
Sitä sattuu.

[jahasjahas]

Since the magic word hasn't been mentioned yet: satuttaa is the causative form of sattua. Many English "causative forms" look exactly the same (zero-derivation), so it's not obvious for you that there's a "normal" hurt and a "causative" hurt.

compare

Minä satutan (satuttaa; causative) Pekkaa. Pekkaa sattuu (sattua; "normal").
I hurt Pekka. Pekka is hurting.

Minä kävelytän (kävelyttää; causative) koiraa. Koira kävelee (kävellä; "normal").
I walk the dog. The dog walks / is walking.

Minä syötän (syöttää; causative) vauvaa. Vauva syö (syödä; "normal")
I feed the baby. The baby eats / is eating.

Minä teetän (teettää; causative) takin. Räätäli tekee (tehdä; "normal") takin.
I have a jacket made. The tailor makes the jacket.