Bismillahir Rahmanir Raheem

The Basmalah, the opening phrase of the Quran, consists of 4 words and 19 letters.

Hover over the letters

Basmalah Words in the Quran

Word	Arabic	Occurrences	Factor
Ism	بسم	19	19 × 1
Allah	الله	2698	19 × 142
Rahman	الرحمن	57	19 × 3
Rahim	الرحيم	114	19 × 6

The 19 Harmony of Multiplication Factors

The sum of the factors is also divisible by 19.

1 + 142 + 3 + 6=152

152 = 19 × 8

Basmalah Letter Structure 19 Harmony

When each word's sequence number and letter count are combined, the resulting number is divisible by 19².

1. word بسم: 3 letters → 1,3

2. word الله: 4 letters → 2,4

3. word الرحمن: 6 letters → 3,6

4. word الرحيم: 6 letters → 4,6

Concatenate: 13 + 24 + 36 + 46 → 13243646

13243646 = 19² × 36686

Other Numerical Properties

1. Position + Abjad Sum

Each word's position and its total Abjad value are concatenated.

N = Concatenate(i, Eᵢ) → N ≡ 0 (mod 19)

1st word: position = 1, Abjad = 102 → 1,102

2nd word: position = 2, Abjad = 66 → 2,66

3rd word: position = 3, Abjad = 329 → 3,329

4th word: position = 4, Abjad = 289 → 4,289

1102 266 3329 42894 → 1102266332942894

1102266332942894 = 19 × 58011912260152362

2. Position + Individual Letter Abjad Values

Each word's position and the Abjad values of its individual letters are concatenated.

N = Concatenate(i, Hᵢ₁, Hᵢ₂, ..., Hᵢₖ) → N ≡ 0 (mod 19)

1st word (بسم): 1-2-60-40

2nd word (الله): 2-1-30-30-5

3rd word (الرحمن): 3-1-30-200-8-40-50

4th word (الرحيم): 4-1-30-200-8-10-40

37-digit number → 1260402130305313020084050413020081040

1260402130305313020084050413020081040 = 19 × 66336954226595422109792126948425318

3. Cumulative Letter Count

Each word's position and the cumulative letter count up to that word are concatenated.

Cᵢ = Σᵐ₌₁ⁱ hₘ → N ≡ 0 (mod 19)

1st word: position = 1, total = 3 → 1,3

2nd word: position = 2, total = 3+4 = 7 → 2,7

3rd word: position = 3, total = 7+6 = 13 → 3,13

4th word: position = 4, total = 13+6 = 19 → 4,19

13 27 313 419 → 1327313419

1327313419 = 19 × 69858601

4. Cumulative Abjad Sum

Each word's position and the cumulative Abjad value up to that word are concatenated.

Tᵢ = Σᵐ₌₁ⁱ Eₘ → N ≡ 0 (mod 19)

1st word: position = 1, Abjad = 102 → 1,102

2nd word: position = 2, 102+66 = 168 → 2,168

3rd word: position = 3, 168+329 = 497 → 3,497

4th word: position = 4, 497+289 = 786 → 4,786

1102 2168 3497 4786 → 1102216834974786

1102216834974786 = 19 × 58011412367093988

5. Total Concatenation

Total word count, letter count, and Abjad sum are concatenated.

N = Concatenate(w, h, e) → N ≡ 0 (mod 19)

Word count: w = 4

Letter count: h = 19

Abjad sum: e = 786

4 19 786 → 419786

419786 = 19 × 22094

Variables Used in Formulas

i:word position number

hᵢ:letter count in the i-th word

Eᵢ:total Abjad value of the i-th word

Hᵢⱼ:Abjad value of the j-th letter in the i-th word

Cᵢ:cumulative letter count from 1 to i

Tᵢ:cumulative Abjad value from 1 to i

w:total word count

h:total letter count

e:total Abjad value

Concatenate(...):concatenate numbers preserving their digits (e.g., 1 and 102 → 1102)

Interesting Observations

4×4 Name Symmetry

In the Quran, only 4 names of Allah are repeated in multiples of 19. Similarly, only 4 names of Allah have Abjad values that are multiples of 19. These two groups perfectly overlap with the 4 names in the Basmalah.

Occurrence Count

•Ism(بسم): 19 × 1

•Allah(الله): 19 × 142

•Rahman(الرحمن): 19 × 3

•Rahim(الرحيم): 19 × 6

Abjad Value

•Wahid(واحد): 19 × 1

•Dhul Fadl Al-Azim(ذو الفضل العظيم): 19 × 142

•Majid(مجيد): 19 × 3

•Jami(جامع): 19 × 6

Bism or Ism?

In the Quran, the word "name" is written in two different forms: with Alif (ISM - اسم) and without Alif (BSM - بسم). This distinction is not random, but a conscious and systematic choice.

1:1 → 11:41: 1520 verses (19×80)

11:41 → 27:30: 1691 verses (19×89)

27:30 → End: 3135 verses (19×165)

The Count of Basmalahs

The Quran contains a total of 114 Basmalahs. Of these, 112 are unnumbered Basmalahs at the beginning of suras (sura 9 has no Basmalah at its beginning) and 2 are numbered Basmalahs (1:1 and 27:30). The sum of 6234 numbered verses and 112 unnumbered Basmalahs equals 6346.

Total Basmalah count:

114(19 × 6)

Unnumbered Basmalahs at sura beginnings:

112

Numbered Basmalahs (1:1 and 27:30):

Numbered verses:

6234

Total verses (6234 + 112):

6346(19 × 334)

Digit sum (6+3+4+6):

Positional Encoding

The Quran has 114 suras, but the 9th sura has no Basmalah at its beginning. This deficiency is compensated by an extra Basmalah in verse 30 of sura 27. The sum of the 19 suras between sura 9 and sura 27: 342 = 19×18

9 + 10 + 11 + ... + 27 = 342

342 = 19 × 18