Numerals
The digits, the tens, and the rules that build every compound number from them.
Sanskrit numbers, plus the few rules that build most of them from the digits 1–9, which is more useful than memorising a hundred separate words. The list is based on veda.wikidot.com/sanskrit-numbers and cross-checked against Wiktionary and Monier-Williams. The wikidot page has a couple of transcription slips (for example, it lists 16 as "shash", which is the word for six). Those are corrected here against the verified forms.
Zero to ten
० शून्य śūnya 0 |
१ एक eka 1 |
२ द्वि dvi 2 |
३ त्रि tri 3 |
४ चतुर् catur 4 |
५ पञ्च pañca 5 |
६ षष् ṣaṣ 6 |
७ सप्त sapta 7 |
८ अष्ट aṣṭa 8 |
९ नव nava 9 |
१० दश daśa 10 |
शून्य (śūnya, "void"): this word, and the placeholder it names, is India's own contribution to mathematics, the idea of zero as a number in its own right.
Eleven to nineteen
एकादश ekādaśa 11 |
द्वादश dvādaśa 12 |
त्रयोदश trayodaśa 13 |
चतुर्दश caturdaśa 14 |
पञ्चदश pañcadaśa 15 |
षोडश ṣoḍaśa 16 |
सप्तदश saptadaśa 17 |
अष्टादश aṣṭādaśa 18 |
नवदश navadaśa 19 |
Digit + दश (daśa, "ten"), joined by regular sandhi. The exception is 16: षष् + दश would become "ṣaḍdaśa", but the actual word, षोडश (ṣoḍaśa), is an older irregular form that never followed the pattern. 19 also has a common alternative, एकोनविंशति (ekonaviṃśati, "one less than twenty"), which uses the same subtractive logic you will see in the tens below.
The tens
विंशति viṃśati 20 |
त्रिंशत् triṃśat 30 |
चत्वारिंशत् catvāriṃśat 40 |
पञ्चाशत् pañcāśat 50 |
षष्टि ṣaṣṭi 60 |
सप्तति saptati 70 |
अशीति aśīti 80 |
नवति navati 90 |
शत śata 100 |
Each ten has its own word; it is not a compound of its digit. The words fall into two groups by ending: -ति/-ti (viṃśati, ṣaṣṭi, saptati, aśīti, navati) and -त्/-t (triṃśat, catvāriṃśat, pañcāśat). Both are feminine nouns and decline like ordinary nouns with those endings, not like the digits.
Building 21–99
Sanskrit doesn't have 78 separate words for 21–99. Almost all of them are the unit digit joined onto its ten by one of two rules:
Additive (the default)
सप्त + शत = सप्तशत (sapta + śata = saptaśata) — 700
Subtractive (numbers ending in 9)
एकोन + शत = एकोनशत (ekona + śata = ekonaśata) — 99
The digits take a special prefix form in these compounds. A few differ from their standalone form above:
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|
एक- eka- |
द्वा- dvā- |
त्रयो- trayo- |
चतुर्- catur- |
पञ्च- pañca- |
षड्- ṣaḍ- |
सप्त- sapta- |
अष्टा- aṣṭā- |
(एकोन-) (ekona-) |
9 also has its own prefix (nava-), so navaviṃśati (29) is valid alongside ekonatriṃśat. But ekona-, "one less than", is the more common form for every 9. Watch for it: it replaces the word for "nine".
Beyond a hundred
Hundreds and thousands compound the same additive way as the tens: digit prefix + शत (śata) or + सहस्र (sahasra, "thousand"):
द्विशत dviśata 200 |
त्रिशत triśata 300 |
चतुःशत catuḥśata 400 |
पञ्चशत pañcaśata 500 |
सहस्र sahasra 1,000 |
600–900 and 2,000–9,000 follow the same pattern (ṣaṭśata, saptaśata… dvisahasra, trisahasra…). They aren't spelled out here because it is the same rule again, with शत swapped for सहस्र. The चतुः- (catuḥ-) in 400 is visarga sandhi from चतुर् (catur-) before a voiceless consonant, the same sandhi pattern the chant pages use.
Large numbers
Past a thousand, Sanskrit has a single word for each step up the decimal ladder. This is the classical sequence, the same in Vedic and later texts:
| 10² | 10³ | 10⁴ | 10⁵ | 10⁶ | 10⁷ | 10⁸ | 10⁹ | 10¹⁰ | 10¹¹ | 10¹² | 10¹³ |
|---|---|---|---|---|---|---|---|---|---|---|---|
शत śata |
सहस्र sahasra |
अयुत ayuta |
लक्ष lakṣa |
नियुत niyuta |
कोटि koṭi |
अर्बुद arbuda |
अब्ज abja |
खर्व kharva |
निखर्व nikharva |
पद्म padma |
शङ्ख śaṅkha |
लक्ष (lakṣa, "lakh") and कोटि (koṭi, "crore") are still everyday units in South Asia. निर्युत (niyuta) is sometimes swapped with प्रयुत (prayuta) for 10⁶; sources disagree on the order. Beyond शङ्ख (10¹³), the Vedic, Puranic and later Buddhist texts (such as the Lalitavistāra) each give their own names for larger powers of ten, and the names don't agree. This page stops where the sources still agree.
How the numbers themselves decline
Numbers aren't fixed labels in Sanskrit. The small ones agree with the noun they count, like adjectives, in gender and case:
| masculine | feminine | neuter | |
|---|---|---|---|
| 1 (singular) | एकः ekaḥ |
एका ekā |
एकम् ekam |
| 2 (dual) | द्वौ dvau |
द्वे dve |
|
| 3 (plural) | त्रयः trayaḥ |
तिस्रः tisraḥ |
त्रीणि trīṇi |
| 4 (plural) | चत्वारः catvāraḥ |
चतस्रः catasraḥ |
चत्वारि catvāri |
From 5 (पञ्च) through 19 there is a single plural form that doesn't change with gender: only the case changes, and the same word serves masculine, feminine and neuter. The tens (20–100) are feminine singular nouns, a collective like "a twenty" or "a hundred", not a counting word. The thing being counted usually goes into the genitive plural beside them.