Now, let’s got straight to our question:

What is the total number of roots in Arabic?

Number of roots in Hans Wehr

There are many Arabic dictionaries. Hans Wehr’s Arabisches Wörter­buch für die Schriftsprache der Gegenwart (named after a German scholar, pub­lished in 1952) is the most complete dictionary of Standard Ar­abic ever published in the West. It con­tains 2967 roots (جِذْر) with 3 letters and 362 with 4 letters.

Number of roots in Lisan al-Arab

The most famous dictionary of Classical Arabic is Lisān al-‘Arab (لِسان الْعَرَب), com­piled by Ibn Manzūr (ابْن مَنْظُور) in the early 14th cen­tury (711 AH). It contains around 80,000 entries and in total (3 + 4 letters + foreign words) 9273 roots.

Mathematically possible number of roots

Since the Arabic alphabet consists of 28 letters (consonant phonemes) there are 21,952 theoretical combinations (=283) of roots with three radicals. However, certain combinations are impossible (with few exceptions):

  • There is no Arabic root which consists of three identical consonants.
  • There are no Arabic roots with identical consonants in the first and second position.
  • There are no Arabic roots with identical consonants in the first and third position.
  • However, there are roots whose second and third letter are identical, for example, to pass (مرر).

Taking into account all possible restrictions, the theoretical number of all possible combinations of roots (morphemes) with three letters is 6332.

What are the most common root letters?

n Hans Wehr, the most common root letter is ر(722 times). The ظ is the least common: only 42 times (1.4 %). The ن is the most common first radical (235 times).

A joke about Arabic roots

The joke goes as follows.

Every root denotes four things:

  1. its basic concept
  2. the opposite
  3. something related to a camel or horse
  4. and something so obscene you need to look it up for yourself.

Okay, this is only a joke, but it may work quite well with the root جمل.


Picture credit: Image by Erzsébet Apostol from Pixabay

Last updated: Jul 20, 2019 @ 20:37

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3 comments
  1. I would like to see details of how you arrived at 6332.

    If I adjust for the limitations you mention I get:
    28 x 27 x 27 = 20,412.

    There are 28 possible 1st letters, the second letter cannot be the same, so there are only 27 possible letters. The third letter cannot be the same as the first letter, so there are only 27 possible third letters. The fact that all 3 letters cannot be the same is already included in this calculation, and although interesting, does not affect the number of roots.

    That’s a long way from 6332. What other restrictions have you included?

  2. Taking into account the glottal stop (hamza), should it not be said that there are 29 letters in the Arabic alphabet? At the same, alif being only a vowel cannot be part of a radical, so this first comment is uneffective…
    Second comment: a theoretical value of 28^3 assumes that we accept combination R1=R2=R3, which I understand is forbidden. I was wondering whether other combinations are forbidden too.

    1. Thank you for your comment. It is only a theoretical number. There are many restrictions as some letters do not like having certain neighbors (for reasons of pronunciation). If you calculate or find a realistic number, please let me know. I would appreciate it.

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