Numdle badges

Numdle has 105 badges, each with its chance per roll. EP is 100 divided by the chance, so a 1 in 1,000 badge pays 100,000 EP. The rarest is Repdigit, a number of one repeated digit, at 1 in 12,345,679.

• Atom: Cracks into one piece: a prime, or 1. 1 in 20, 1,967 EP
• Duo: Two prime factors, counted with repeats. 1 in 6, 622 EP
• Trio: Three prime factors, counted with repeats. 1 in 4, 435 EP
• Four Pieces: Four prime factors, counted with repeats. 1 in 5, 471 EP
• Five Pieces: Five prime factors, counted with repeats. 1 in 7, 662 EP
• Six Pieces: Six prime factors, counted with repeats. 1 in 11, 1,091 EP
• Seven Pieces: Seven prime factors, counted with repeats. 1 in 20, 1,973 EP
• Eight Pieces: Eight prime factors, counted with repeats. 1 in 38, 3,776 EP
• Nine Pieces: Nine prime factors, counted with repeats. 1 in 75, 7,475 EP
• Ten Pieces: Ten or eleven prime factors, counted with repeats. 1 in 102, 10,154 EP
• Dozen: Twelve to fourteen prime factors, counted with repeats. 1 in 374, 37,385 EP
• Swarm: Fifteen to nineteen prime factors, counted with repeats. 1 in 3,145, 314,531 EP
• Avalanche: Twenty prime factors or more, counted with repeats. 1 in 136,147, 13,614,704 EP
• Even: Divisible by 2. 1 in 2, 200 EP
• Odd: Not divisible by 2. 1 in 2, 200 EP
• Nine Digits: A nine-digit number. 1 in 1, 111 EP
• Eight Digits: An eight-digit number. 1 in 11, 1,111 EP
• Seven Digits: A seven-digit number. 1 in 111, 11,111 EP
• Six Digits: A six-digit number. 1 in 1,111, 111,111 EP
• Small Fry: Five digits or fewer. 1 in 10,000, 1,000,010 EP
• Seventies: As Unix time, it falls in 1970–1979. 1 in 3, 317 EP
• Eighties: As Unix time, it falls in 1980–1989. 1 in 3, 317 EP
• Nineties: As Unix time, it falls in 1990–1999. 1 in 3, 317 EP
• Y2K: As Unix time, it falls in 2000–2001. 1 in 19, 1,876 EP
• Friday the 13th: As Unix time, a Friday the 13th (UTC). 1 in 210, 21,044 EP
• Leap Day: As Unix time, a February 29 (UTC). 1 in 1,447, 144,676 EP
• Rent Free: As Unix time, the 1st of a month (UTC). 1 in 30, 3,038 EP
• Canon Event: As Unix time, exactly on the hour. 1 in 3,600, 360,001 EP
• Deficient: Its divisors add up to less than twice it. 1 in 1, 133 EP
• Abundant: Its divisors add up to at least twice it. 1 in 4, 404 EP
• Sigma: Its divisors add up to more than three times it. 1 in 50, 4,957 EP
• Loaded: Its divisors add up to more than four times it. 1 in 3,927, 392,742 EP
• Crumbs: Its biggest prime factor is under 100. 1 in 340, 33,959 EP
• Three-Digit Boss: Its biggest prime factor has three digits. 1 in 18, 1,776 EP
• Four-Digit Boss: Its biggest prime factor has four digits. 1 in 6, 612 EP
• Five-Digit Boss: Its biggest prime factor has five digits. 1 in 5, 473 EP
• Six-Digit Boss: Its biggest prime factor has six digits. 1 in 5, 549 EP
• Seven-Digit Boss: Its biggest prime factor has seven digits. 1 in 7, 650 EP
• Eight-Digit Boss: Its biggest prime factor has eight digits. 1 in 8, 763 EP
• Nine-Digit Boss: Its biggest prime factor has nine digits. 1 in 10, 1,011 EP
• Two Tones: Two different digits or fewer. 1 in 24,544, 2,454,409 EP
• Three Tones: Three different digits. 1 in 350, 34,962 EP
• Four Tones: Four different digits. 1 in 22, 2,228 EP
• Five Tones: Five different digits. 1 in 5, 450 EP
• Six Tones: Six different digits. 1 in 3, 250 EP
• Seven Tones: Seven different digits. 1 in 4, 374 EP
• Eight Tones: Eight different digits. 1 in 17, 1,655 EP
• Nine Tones: Nine different digits. 1 in 306, 30,619 EP
• Twin Prime: A prime with a prime 2 away. 1 in 146, 14,601 EP
• Emirp: A prime that reads as another prime backwards. 1 in 208, 20,793 EP
• Sophie Germain: A prime p where 2p + 1 is prime too. 1 in 302, 30,222 EP
• Safe Prime: A prime p where (p − 1) / 2 is prime too. 1 in 563, 56,317 EP
• Palindromic Prime: A prime that reads the same backwards. 1 in 167,983, 16,798,253 EP
• RSA-Grade: Exactly two different primes multiplied, both of five digits or more. 1 in 146, 14,638 EP
• Achilles: Every prime factor repeats, but it is no perfect power. 1 in 28,934, 2,893,435 EP
• Humble: No prime factor above 7. 1 in 192,567, 19,256,692 EP
• Prime Square: The square of a prime. 1 in 294,031, 29,403,117 EP
• Triangular: 1 + 2 + … + k for some k. 1 in 22,361, 2,236,136 EP
• Square Number: A whole number squared. 1 in 31,624, 3,162,355 EP
• Taxicab: A sum of two cubes in two ways, like 1729. 1 in 643,501, 64,350,064 EP
• Cube: A whole number cubed. 1 in 1,001,001, 100,100,100 EP
• Pandigital: Each digit 1–9 exactly once. 1 in 2,756, 275,573 EP
• Palindrome: Reads the same backwards. 1 in 9,091, 909,107 EP
• Escalator: Two or more digits, strictly rising or falling. 1 in 660,502, 66,050,198 EP
• Ones and Zeros: Only 0s and 1s. 1 in 1,956,947, 195,694,716 EP
• Harshad: Divisible by its digit sum. 1 in 16, 1,624 EP
• Aura: The digits add up to 55 or more. 1 in 19, 1,908 EP
• Happy: Square its digits and add, again and again: it reaches 1. 1 in 7, 686 EP
• High Five: Divisible by 5. 1 in 5, 500 EP
• Based: Ends in 0. 1 in 10, 1,000 EP
• Hundreds: Ends in 00. 1 in 100, 10,000 EP
• Grand: Ends in 000. 1 in 1,000, 100,000 EP
• Sheesh: One digit three times in a row. 1 in 35, 3,482 EP
• Double Seven: At least two 7s. 1 in 4, 444 EP
• Triple Threat: Divisible by 3. 1 in 3, 300 EP
• Seventh Heaven: Divisible by 7. 1 in 7, 700 EP
• Clean Break: No prime factor repeats. 1 in 2, 164 EP
• Nice: Contains 69. 1 in 17, 1,700 EP
• Six Seven: Contains 67. 1 in 17, 1,700 EP
• Blaze: Contains 420. 1 in 334, 33,367 EP
• Not Found: Contains 404. 1 in 334, 33,367 EP
• Jackpot: Contains 777. 1 in 334, 33,367 EP
• Leet: Contains 1,337. 1 in 5,000, 500,000 EP
• Jenny: Contains 8,675,309. 1 in 10,000,000, 999,999,999 EP
• Main Character: Not a prime, but one prime towers over the rest: bigger than the square of what is left after dividing it out once. 1 in 3, 261 EP
• Delulu: Ends in 1, 3, 7 or 9 like a prime, but isn’t one. 1 in 3, 286 EP
• Touch Grass: As Unix time, a Saturday or Sunday (UTC). 1 in 3, 350 EP
• Mid: Right in the middle: 450,000,000 to 549,999,999. 1 in 10, 1,000 EP
• NPC: Its digits add up to 40 or 41, the most common sums. 1 in 11, 1,101 EP
• Don't Panic: Contains 42. 1 in 17, 1,700 EP
• Crashout: A 9 crashes straight to 0. 1 in 17, 1,700 EP
• Plot Twist: Not prime, but its reverse is. 1 in 19, 1,903 EP
• Big Brother: As Unix time, it lands in 1984. 1 in 32, 3,162 EP
• Pi: Contains 314. 1 in 334, 33,367 EP
• Rizz: Contains 143, pager code for “I love you”. 1 in 334, 33,367 EP
• No Scope: Contains 360. 1 in 334, 33,367 EP
• Beast: Contains 666. 1 in 334, 33,367 EP
• GOAT: Top 0.1%: over 999,000,000. 1 in 1,000, 100,000 EP
• It's Over 9000: Contains 9,001. 1 in 5,000, 500,000 EP
• Doomsday: Contains 2,012. 1 in 5,003, 500,250 EP
• Nice Blaze: Contains 69,420. 1 in 50,000, 5,000,000 EP
• Password: Contains 12,345. 1 in 50,000, 5,000,000 EP
• Hall of Fame: A Fibonacci number, a power of 2, a factorial or a multiperfect number. 1 in 10,752,688, 1,075,268,816 EP
• Repdigit: Every digit the same, a lone digit included. 1 in 12,345,679, 1,234,567,900 EP
• Kaprekar: Split its square anywhere into two parts, the right one not zero, and they add back up to it (1 counts too). 1 in 9,803,922, 980,392,156 EP