Friday, October 7, 2011

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.


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.

Thursday, October 6, 2011

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.

Wednesday, October 5, 2011

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

Tuesday, October 4, 2011

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.

Monday, October 3, 2011

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.

Friday, September 30, 2011

976

976 = 24 x 61.


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.

Thursday, September 29, 2011

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.

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