Tuesday, April 20, 2010

8518

8518 = 2 x 4259.

8518 is 6444 in base 11.

It takes 11 steps of the "reverse and add" algorithm to reach a palindrome: 8518; 8518 + 8158 = 16676;16676 + 67661 = 84337; . . . 1771331771.

183 x 28518 - 1 is a prime number.

LEGO product 8518 is the Ben 10 Alien Force Jet Ray.

Monday, April 19, 2010

2096

2096 = 24 x 131.

2096 is 2212122 in base 3, 200300 in base 4, and 4060 in base 8.

2096 is a number such that n2 + 1 and n2 + 3 are both primes.

2096 is the sum of four nonzero squares in exactly nine ways.

2096 is a year in which there will be five Wednesdays in the month of February. This last occurred in the year 1984 and will happen again in 2012.

Friday, April 16, 2010

596

596 = 22 x 149.

596 has a representation as a sum of two squares: 596 = 142 + 202.

596 is the maximum number of regions into which 34 lines divide the plane.

596 is the number of Hamiltonian cycles of a 4 x 9 rectangle graph.

596 was the code name for China's first nuclear weapons test, detonated Oct. 16, 1964.

Thursday, April 15, 2010

961

961 = 312. It is a perfect square.

961 is the largest square with strictly decreasing digits. It is also the largest prime power of a prime with strictly decreasing digits.

The digits of 961 can be rearranged to give two other squares: 169 = 132 and 196 = 142.

961 is 12321 in base 5 and 4241 in base 6.


961 beer is brewed in Beirut, Lebanon.

Wednesday, April 14, 2010

705

705 = 3 x 5 x 47.

705 is the smallest Lucas psuedoprime.

705 is a rhombic matchstick number: n(3n + 2) for n = 15.

705 is an odd interprime because it lies at the midpoint between two consecutive odd primes, 701 and 709.

The IBM 705 was one of the most powerful data processing systems available in the mid-1950s.

Tuesday, April 13, 2010

208

208 = 24 x 13.

208 has a representation as a sum of two squares: 208 = 82 + 122.

208 = 28 - 48.

208 is a divisor of 252 - 1.

208 = 22 + 32 + 52 + 72 + 112.

208 is the telephone area code for the state of Idaho.

Monday, April 12, 2010

3892

3892 = 22 x 7 x 139.

3892 has the representation 24 x 35 + 4.

3892 is a divisor of 436 - 1.

3892 is 30004 in base 6 and 7464 in base 8.

The 3892nd triangular number contains only the digits 5, 7, and 8: 7575778.

The asteroid 3892 Dezsรถ was discovered in 1941.

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