פרדה She-mule
Every verse in which this word stands — 3 places, in canonical order, first appearance to last. These are the places the lexicon carries under this word's own entry, counting every form the text writes it in, which is the number on the list.
The she-mule, the king's own — David's, on which Shlomo was set on the day of his anointing.
וַיֹּאמֶר הַמֶּלֶךְ לָהֶם קְחוּ עִמָּכֶם אֶת־עַבְדֵי אֲדֹנֵיכֶם וְהִרְכַּבְתֶּם אֶת־שְׁלֹמֹה בְנִי עַל־הַפִּרְדָּה אֲשֶׁר־לִי וְהוֹרַדְתֶּם אֹתוֹ אֶל־גִּחֽוֹן
And the king said unto them: ‘Take with you the servants of your lord, and cause Solomon my son to ride upon mine own mule, and bring him down to Gihon.
וַיֵּרֶד צָדוֹק הַכֹּהֵן וְנָתָן הַנָּבִיא וּבְנָיָהוּ בֶן־יְהוֹיָדָע וְהַכְּרֵתִי וְהַפְּלֵתִי וַיַּרְכִּבוּ אֶת־שְׁלֹמֹה עַל־פִּרְדַּת הַמֶּלֶךְ דָּוִד וַיֹּלִכוּ אֹתוֹ עַל־גִּחֽוֹן
So Zadok the priest, and Nathan the prophet, and Benaiah the son of Jehoiada, and the Cherethites and the Pelethites, went down, and caused Solomon to ride upon king David’s mule, and brought him to Gihon.
וַיִּשְׁלַח אִתּֽוֹ־הַמֶּלֶךְ אֶת־צָדוֹק הַכֹּהֵן וְאֶת־נָתָן הַנָּבִיא וּבְנָיָהוּ בֶּן־יְהוֹיָדָע וְהַכְּרֵתִי וְהַפְּלֵתִי וַיַּרְכִּבוּ אֹתוֹ עַל פִּרְדַּת הַמֶּֽלֶךְ
And the king hath sent with him Zadok the priest, and Nathan the prophet, and Benaiah the son of Jehoiada, and the Cherethites and the Pelethites, and they have caused him to ride upon the king’s mule.
Quick answers
What is the Hebrew word for she-mule?
She-mule in Hebrew is פרדה, with a gematria of 289 in the standard method.
How many times is the she-mule mentioned in the Tanakh?
The word stands 3 times in the Tanakh, first at 1 Kings 1:33.
A spelling is not a word. The corpus never writes פרדה bare — every one of its places carries a particle or a suffix on the front or the back — so the spelling above is the word's own headword, and the verses listed here are the only door to it.