Badge index
Every badge on the board
26 traits, six rarity tiers. Odds are measured against all 1,000,001 possible daily rolls.
Common · 5 Uncommon · 4 Rare · 4 Epic · 4 Legendary · 3 Mythic · 6
Common
Twin Digits At least one pair of identical neighbouring digits. ~1 in 2.4+10 EP
Full Set Every digit is different — no repeats anywhere. ~1 in 6.6+15 EP
Nine's Law The digits add up to a multiple of nine. ~1 in 9+15 EP
Round Tail Ends in a zero — a clean multiple of ten. 1 in 10+10 EP
Prime Sum The digit sum itself is a prime number. ~1 in 3+15 EP
Uncommon
Inside Joke Hides a 69, 420, 666, or 777 somewhere inside. ~1 in 8+30 EP
Escalator Three or more digits climbing in sequence, like 3-4-5. ~1 in 14+30 EP
Downhill Three or more digits descending in sequence, like 7-6-5. ~1 in 14+30 EP
Uniform Every digit shares the same parity — all odd or all even. ~1 in 32+40 EP
Rare
Prime The number itself is prime — divisible by nothing but one and itself. ~1 in 13+80 EP
Balanced The first three digits and last three digits sum to the same total. ~1 in 13+60 EP
Double Zero Ends in two zeros — a full multiple of one hundred. 1 in 100+60 EP
Staircase Digits are already in non-decreasing order. ~1 in 200+90 EP
Epic
Binary Code Uses only zeros and ones — a number pretending to be code. ~1 in 15,600+180 EP
Triangular Counts the dots in a perfect triangle: n(n+1)/2. ~1 in 710+160 EP
Mirror A six-digit palindrome — identical read either way. 1 in 1,000+220 EP
Déjà Vu The same three-digit block twice: abcabc. 1 in 1,000+220 EP
Legendary
Perfect Square A whole number multiplied by itself. 1 in 1,000+400 EP
Perfect Cube A whole number cubed. 1 in 10,000+500 EP
Triple Block The same two-digit block three times: ababab. 1 in 1,000+450 EP
Mythic
Fibonacci A member of the Fibonacci sequence. ~1 in 33,000+1200 EP
Power of Two An exact power of two. 1 in 50,000+1400 EP
Factorial A factorial: 1!, 2!, 3! and so on. ~1 in 111,000+1500 EP
Flawless A perfect number — equal to the sum of its proper divisors. 1 in 250,000+1600 EP
Named Number One of the famous constants or meme numbers, rolled exactly. ~1 in 55,000+1800 EP
Jackpot All six digits identical — the rarest shape on the board. 1 in 100,000+2500 EP