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Convert any number from -10 to 2¹⁰⁰ into its Argam name using prime factorization.
Paste or type a list of numbers (separated by lines, commas, or spaces) to convert them all at once.
Argam names are based on prime factorization. Numbers 1–720 have canonical names. Larger numbers are composed using prefixes and suffixes from their prime factors.
Power suffixes: -ent (square), -cue (cube), -inent (4th), -kam (5th), -ex (6th) (legacy -our/-ive can be re-enabled in Settings → General). For higher powers, the suffix is derived from the power's numeral name.
-di / -tri: Appended when the number is 2× or 3× a perfect power (excluding powers of 2, 3, or 6).
Prime suffixes (G.5–G.6): When the greatest prime factor is 13, 17, 23, 29, or 31 and the remaining base ≤ 720, it's replaced by a suffix: -ithe (13), -ote (17), -ore (23), -eve (29), -sode (31). If a larger prime exists, the prime uses a modified prefix instead: flor- (23), nev- (29), sode- (31), zote- (17 when greatest > 31).
Composite prefixes (G.5): Small prime factors (≤ 31) are greedily grouped into the largest nameable composites (≤ 720) — e.g. 2×3 → ex-, 4×5 → cadkin-, 2×3×7 → exeff-.
Algorithm: Small prime factors are greedily grouped into nameable composites (≤ 720), tokens are sorted by ascending value, and prime suffixes replace the greatest prime when possible. Modified prefixes (flor-, nev-, sode-, zote-) apply when a larger prime is present.
Chapters 3–5: Primes 14,009–1,299,709 (indices 1653–100000) named via positional syllables. Chapter 6: 1,299,721–2,750,159 (indices 100001–200000). Chapter 7: 2,750,161–7,368,787 (indices 200001–500000); the 500,000th prime is element. Chapter 8: 7,368,791–15,485,863 (indices 500001–1000000); the 1,000,000th prime is fin. Max converter value: 2¹⁰⁰ = 1,267,650,600,228,229,401,496,703,205,376.