108

108 = 2² x 3³. It is the product of the first three numbers raised to themselves: 108 = 1¹ x 2² x 3³.

108 is the smallest number whose divisors contain every digit at least once. The divisors are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.

108 is 99 in base 11.

The interior angles of a regular (equilateral) pentagon measure 108 degrees each.

There are 108 different types of heptomino, a shape made by fitting together seven squares.

For an article on the symbolism of 108, see the webpage "Why 108."

Source: Number Gossip

505

505 = 5 x 101.

505 has two representations as a sum of two squares: 505 = 8² + 21² = 12² + 19².

505 is the hypotenuse of two primitive Pythagorean triples: 505² = 217² + 456² = 336² + 377².

505³ = 59³ + 163³ + 499³, where 59, 163, and 499 are primes.

505 is the magic constant for a 10 x 10 normal magic square.

505 is the model number of a type of denim jeans produced by Levi Strauss & Co.

Source: Prime Curios!

196

196 = 2² x 7².

196 is the smallest square that contains a multidigit prime number as a substring.

196 = 14² is a perfect square.

196 is the difference of two square numbers: 196 = 50² - 48².

The consecutive squares 13² = 169 and 14² = 196 use the same digits; 31² = 961 also uses the same digits.

196 has a unique representation as a sum of three squares: 196 = 4² + 6² + 12².

196 is a pentagonal pyramidal number and a heptagonal pyramidal number.

It is conjectured that 196 is the lowest Lychrel number. It is the lowest number not known to produce a palindrome by repeated reversal and addition. The algorithm has been tested to more than 246 million digits without finding a palindrome, but no one has ever proved that it will never produce one.

The Mercedes-Benz W196 was an entry in the 1954 and 1955 Formula One car racing series, winning 9 of 12 races.

Source: Number Gossip

482

482 = 2 x 241.

482 has a representation as a sum of two squares: 482 = 11² + 19².

482 is 222 in base 15. It is 585 in base 9.

482 is a number whose square (232,324) and cube (111,980,168) use different digits.

482 Music is an independent record label featuring international jazz.

Source: What's Special About This Number?

981

981 = 3² x 109.

981 has a representation as a sum of two squares: 981 = 9² + 30².

327 + 654 = 981 uses each of the digits 1-9 once.

981 and 981² = 962,361 have the same initial digit and final digit.

Turkish Airlines Flight 981 was a McDonnell Douglas DC-10 that crashed in France in 1974, killing all 346 people on board.

Source: Numeropedia

186

186 = 2 x 3 x 31.

186 is the maximum number of regions into which 9 spheres divide space.

7 x 5 x 3 x 2 - 4 x 3 x 2 x 1 = 186.

186 x 39 = 7254 uses each of the nine digits 1-9 once.

186 is 1221 in base 5 and 272 in base 8.

186 is the number of odd days in a year that is not a leap year.

Source: Number Gossip

594

594 = 2 x 3³ x 11.

594 is 1001010010 in base 2 (binary). It is 4334 in base 5 and 1122 in base 8.

594 is the smallest number that has 10 representations as a sum of three positive squares: 594 = 1² + 8² + 23² = 3² + 3² + 24² = 3² + 12² + 21² = 4² + 7² + 23² = 4² + 17² + 17² = 5² + 13² + 20² = 7² + 16² + 17² = 8² + 13² + 19² = 12² + 15² + 15² = 13² + 13² + 16².

594 = 1⁵ + 2⁹ + 3⁴.

594 is the sum of 10 consecutive primes: 594 = 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79.

USS Permit (SSN-594) was a nuclear submarine that was launched in 1961 and decommissioned in 1991.

Source: What's Special About This Number?

976

976 = 2⁴ x 61.

976 is a decagonal number. It is also a centered triangular number.

976 has a square formed by inserting a block of digits inside the original number: 976² = 952,576.

976 has a representation as a sum of two squares: 976 = 20² + 24².

976 is a divisor of 11⁴ - 1.

976-EVIL is a 1989 horror film directed by Robert Englund.

Source: What's Special About This Number?

680

680 = 2³ x 5 x 17.

680 is the 15th tetrahedral number. It is the smallest tetrahedral number that is also the sum of two tetrahedral numbers: 680 = 560 + 120.

680 has two representations as a sum of two squares: 680 = 2² + 26² = 14² + 22².

680 is 404 in base 13.

680 can be written as the sum of distinct odd powers of two: 680 = 2³ + 2⁵ + 2⁷ + 2⁹.

WCBM AM 680 is a talk radio station in Baltimore.

Source: Number Gossip

458

458 = 2 x 229.

458 has a representation as a sum of two squares: 458 = 13² + 17².

458 is a number that does not have any digits in common with its cube: 458³ = 96,071,912.

458² contains exactly six different digits: 458² = 209,764.

The Ferrari 458 Italia is a sports car that was introduced in 2009.

Source: What's Special About This Number?

156

156 = 2² x 3 x 13. It is a pronic number because it is the product of two consecutive numbers: 156 = 12 x 13.

156 is 1111 in base 5.

156 is a dodecagonal number.

156 is the number of graphs with six vertices.

A clock will strike 156 times in the course of a day.

Source: Number Gossip

452

452 = 2² x 113.

452 has a representation as a sum of two squares: 452 = 14² + 16².

452 is a divisor of 15⁴ - 1.

452 is 381 in base 11 and 318 in base 12. It is 202 in base 15.

452 is the sum of seven nonzero 4th powers.

The Petronas Towers in Kuala Lumpur, Malaysia, are 452 meters tall (including antenna spires).

Source: The Positive Integers

857

857 is a prime number.

857 has a representation as a sum of two squares: 857 = 4² + 29².

857 and 859 form a twin prime pair.

857 is the hypotenuse of a primitive Pythagorean triple: 857² = 232² + 825².

142,857 x 5 = 714,285 = 857² - 142², where 857,142 = 142,857 x 6.

857 is 1011202 in base 3. It is 272 in base 19.

857 is the sum of three consecutive primes: 857 = 281 + 283 + 293.

Glasenappia 857 is an asteroid discovered in 1916.

Source: Wikipedia

339

339 = 3 x 113.

339 is the number of ways to divide 5 black and 5 white beads into piles.

339³ = 38,958,219 = (389 - 58 - 2 + 1 + 9)³.

339 is 2324 in base 5 and 1323 in base 6. It is 523 in base 8.

339 is the sum of the squares of three consecutive primes: 339 = 7² + 11² + 13².

The Gibson ES-339 is a custom hand-crafted electric guitar.

Source: What's Special About This Number?

143

143 = 11 x 13.

143 is the smallest brilliant number whose reversal, 341, is a different brilliant number.

143 is an aspiring number.

The last 143 digits of 143¹⁴³ form a prime number.

143 is the number of three-digit primes.

Every positive integer is the sum of at most 143 seventh powers.

143² is a divisor of 143143.

143 is the sum of three consecutive primes and the sum of seven consecutive primes: 143 = 43 + 47 + 53 = 11 + 13 + 17 + 19 + 23 + 29 + 31.

Vickers Type 143 was a British single-seat biplane designed and built in 1929.

Source: Number Gossip

247

247 = 13 x 19. Its digits sum to the smallest prime factor: 2 + 4 + 7 = 13.

247 is a pentagonal number.

247 is the smallest possible difference between two integers that together contain each digit exactly once: 247 = 50,123 - 49876.

247² is one of six square numbers that use the same digits: 247² = 61,009; 130² = 16.900; 140² = 19,600; 310² = 96,100; 103² = 10,609; and 301² = 90,601.

247 Eukrate is a large, dark asteroid discovered in 1885.

Source: Prime Curios!

551

551 = 19 x 29.

551 is the sum of three consecutive primes: 551 = 179 + 181 + 191.

551 is a centered decagonal number.

551 is the number of trees with 12 vertices.

551 is 202102 in base 3 and 20213 in base 4.

551 is a divisor of 30³ - 1.

551 Ortrud is an asteroid discovered in 1904.

Source: What's Special About This Number?

6200

6200 = 2³ x 5² x 31.

6200 is 22111122 in base 3 and 8448 in base 9. It is 14070 in base 8.

6200 is a harmonic divisor number.

6200 is a multiple of 8 with a digit sum of 8.

6200 is a divisor of 99⁶ - 1.

The GeForce 6200 from Nvidia is a graphics processing unit introduced in 2004.

Source: What's Special About This Number?

621

621 = 3³ x 23.

621 is the number of ways to 9-color a tetrahedron.

621 is 4441 in base 5. It is 515 in base 11.

621² = 385,641 contains exactly six different digits.

621 is the sum of two distinct positive pentatope numbers: 621 = 126 + 495.

The USS Haddock (SSN-621) was a nuclear-powered submarine launched in 1966 and decommissioned in 1993.

Source: What's Special About This Number?

410

410 = 2 x 5 x 41.

410 has two representations as a sum of two squares: 410 = 7² + 19² = 11² + 17². 410 is the smallest number that can be represented as the sum of the squares of distinct primes in two different ways.

410 is 120012 in base 3, 12122 in base 4, and 1124 in base 7. It is 505 in base 9 and 343 in base 11.

410 is the sum of six consecutive primes: 410 = 57 + 61 + 67 + 71 + 73 + 79.

410 is the telephone area code for the Baltimore area of the state of Maryland.

Source: Prime Curios!