Thursday, May 20, 2010

402

402 = 2 x 3 x 67. As the product of three distinct primes, 402 is a sphenic number.

402 is the number of graphs with eight vertices and nine edges.

402 is 123 in base 19.



402 is the telephone area code for Omaha, Nebraska.

Wednesday, May 19, 2010

953

953 is a prime number.

953 is a Sophie Germain prime because 2 x 953 + 1 = 1907 is also a prime.

953 has a representation as a sum of two squares: 953 = 132 + 282.

953 is the hypotenuse of a primitive Pythagorean triple: 9532 = 6152 + 7282.

953 is the largest prime factor of 54321.

953 Painleva is a main-belt asteroid discovered in 1921.

Tuesday, May 18, 2010

432

432 = 24 x 33.

432 = 4 x 33 x 22.

432 is the sum of four consecutive primes: 432 = 103 + 107 + 109 + 113.

432 +/- 1 are twin primes. Note the descending digits.

432 is 12300 in base 4, 2000 in base 6, 660 in base 8, 363 in base 11, and 300 in base 12.


432 is sometimes known as the "cycle of time" number.

Monday, May 17, 2010

760

760 = 23 x 5 x 19.

760 has the unique representation 760 = 62 + 182 + 202 as a sum of three squares.

760 is the number of integer partitions of 37 into distinct parts.

760 is a centered triangular number: 3n(n - 1)/2 + 1, for n = 23.



Telephone area code 760 covers eastern southern California.

Friday, May 14, 2010

16

16 = 24. 16 is a perfect fourth power.

16 is the smallest number with two representations as a sum of two distinct primes: 16 = 3 + 13 = 5 + 11.

16 = 1 + 3 + 5 + 7.

16 is 22 in base 7.

16 can be partitioned in 231 ways.

There are 16 ounces in a pound.

Each player in a game of chess uses 16 pieces.

Source: WolframAlpha

Thursday, May 13, 2010

200

200 = 23 x 52.

200 has two representations as a sum of two squares: 200 = 22 + 142 = 102 + 102.

200 is a divisor of 492 - 1.

200 is the smallest unprimeable number. It cannot be turned into a prime number by changing just one of its digits to any other digit.

200 is 404 in base 7 and 242 in base 9.

An ice hockey rink is 200 feet long and 85 feet wide. Olympic-sized rinks are 100 feet wide.

Wednesday, May 12, 2010

833

833 = 72 x 17.

833 has a representation as a sum of two squares: 833 = 72 + 282.

833 is a divisor of 502 - 1.

833 is an octagonal number.


833 is 595 on base 12.

Hickson 16 is a quartet of galaxies in the constellation Cetus, including NGC 833 as one of its components.

Source: WolframAlpha
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