Numbers 250,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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250,000

[Game]  In the popular TV game show “Who Wants to be a Millionaire?”, a contestant has to answer correctly 15 questions to step up the fixed prizes in U.S.$: 100, 200, 300, 500, 1000, to 2000, 4000, 8000, 16,000, 32,000, to 64,000, 125,000, 250,000, 500,000 and the maximum amount is at least $1,000,000, with 3 lifelines: polling the audience, calling a friend and narrowing to “50:50” answers. The guaranteed middle prizes can be $1000 or $32,000.

 

250,000 & 250,500

[Math.]   (Sequence of numbers 49…950…0 and 50…050…0)

249,500,250,000 = (249,500+250,000)2 = 499,5002 and

250,500,250,000 = (250,500+250,000)2 = 500,5002 and 499,500+500,500 = 1,000,000.

 

252,601

[Math.]   A Carmichael number: 252,601 = 41×61×101.

 

255,255

[Math.]   Product of the first 6 odd prime numbers: 255,255 = 3×5×7×11×13×17.

 

[Math.]   A triangular number (sum of all integers from 1 to 714): 255,255 = 1+2+…+713+714.

 

256,032

[Math.]   Two consecutive sums of consecutive numbers: 3969+…+4032 = 4033+…+4095 = 256,032.

 

258,064

[Math.]  1/31 = 0.032,258,064,516,129 = 0.032,258,064,516,129,032,258,064,516,129… where 032,258×2 = 064,516; 064,516×2 = 129,032 and 129,032×2 = 258,064.

 

1/62 = 0.0161,290,322,580,645 = 0.016,129,032,258,064,516,129,032,258,064,5… where 016,129×2 = 032,258; 032,258×2 = 064,516; 064,516×2 = 129,032 and 129,032×2 = 258,064. Similarly,

1/124 = 0. 0.00806451612903225  = 0.0080645,16129,032258,064516,129032,258064,...