RNGdle Rarity Calculator

How rarity is decided

RNGdle draws every roll from the same discrete uniform distribution: the integers from 0 to 1,000,000, each with exactly the same 1-in-a-million chance. That means no number is harder to draw than another. When we say a number is "rare", we mean it belongs to a small, special club defined by its patterns — not that the dice are loaded.

The official scoring runs in two steps. First, the game scans your number against 233 badge rules — palindromes, primes, Echo halves, jackpot runs, culture exacts like 42 and 420420 — and every match pays entropy points (a concept from information entropy, where rarer events carry more surprise value). The payout formula is exact: EP = 100 ÷ (probability of earning the badge). A badge half of all rolls get pays 200 EP; a 1-in-a-million badge pays about 100 million. Second, family supersession: the 233 badges belong to 39 families, and within a family only your highest-EP match scores — the smaller ones display but pay 0, since the bigger one already implies them. Your card tier comes straight from the total: seven EP bands from Trash (under 2,087) through Common, Uncommon, Rare, Epic and Anomaly up to Mythic (162,292 and above). One distinction worth memorising: these are your roll's card tiers — a different thing from the badge tiers on the badge list, which grade how much each single badge pays.

The percentile works the same honest way. We ran the full official rules across all 1,000,001 possible numbers and recorded the EP of every one; your result shows which percentile band your roll lands in. "Top 1%" means your EP beats 99 out of every 100 possible rolls — the same maths the official leaderboard orders by.

The rules in this calculator are matched to the live game as reverse-engineered and verified by the community (every EP anchor we could cross-check — 0, 1, 2, 420420 and more — agrees exactly). If the official badge list changes, the engine gets updated and every number on this page changes with it.

Which numbers are rarest

Rank every possible roll by total EP and the podium belongs to the tiny numbers: single digits earn all thirteen perfect-power badges at once (0 and 1 count as perfect powers of every exponent), and the family system collapses that pile into one giant payout. The table below is computed directly from the full range — these are the rolls a player would screenshot:

Notice how small the champions are: 1, 0, 4, 5, 7, 6, 67, 101, 69 and 42 — ten tiny numbers, each stacking enough super-badges to embarrass any six-digit roll. Rarity in RNGdle is about what a number is, not how big it is. The rarest numbers page ranks the best — and the most boring — rolls and explains how to read your percentile.