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| Acmlm's Board - I2 Archive - Brain Teasers - Strange number facts |
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Teundusia Lantern Ghost Level: 41 Posts: 143/760 EXP: 449109 For next: 31036 Since: 07-31-04 Since last post: 15 hours Last activity: 14 hours |
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| Here is a series of strange number facts... The first part is all about the number 37 A silly trick: take any number from 1 to 9, times it by 3 then 37. what do you get? A sillier trick: take any number from 1 to 9 then multiply it by 3,7,11,13 and 37. what do you get? pick any number btween 3 and 27. multiply it by 37 and you get a 3 digit answer. this number will obviously divide by 37 but the funny thing is that if you move the first digit of the asnwer to the end, or the end digit to the front the answer ALSO divides by 37 Pick any number, square the digits and add them. do it again and again and again. you'll either end up with 1 or a sequence which goes: 37,58,89,145,42,20,4,16,37 1/37=0.027027027027... 1/27=0.037037037037... the number four is the only number in the english language to contain the same amount of letters as its value. The number forty is the only number to have it letters in alphabetical order two is the only number that gives the same number when multiplied by itself and added to itself to multiply the number 10 112 359 550 561 797 808 988 764 044 943 820 224 719 you just move the 9 at the end of the answer to the front 526 315 789 473 684 210 multiplied by any number between 2 and 18 uses all the same digits in the same order, but starts at a different place (there is also an extra 0 at the end) there are only two answers that make this phrase correct: ( )4+( )4+( )4=( )4 they are: (2,682,440)4+(15,365,639)4+(18,796,760)4=(20,615,673)4 and (95,800)4+(217,519)4+(414,560)4=(422,481)4 8 is the only cube that is one less than a square 692=4761 and 963=328509. These two asnwers use all the digits from 0 to 9 between them. 69 is the only number that does this 153,370,371 and 407 have one thing in common. they are all "the sum of the cubes of their digits" in other words 153=13+33+53 There are 12,988,816 different ways to cover a chess board with 32 dominoes if you multiply 21,978 by 4 it turns backwards you can chop a lump of cheese into a maximum of 93 pieces with 8 straight cuts (edited by RYjet911 on 03-02-05 02:10 PM) (edited by RYjet911 on 03-02-05 02:13 PM) |
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Smallhacker Green Birdo SMW Hacking Moderator Level: 68  Posts: 1343/2273 EXP: 2647223 For next: 81577 Since: 03-15-04 From: Söderhamn, Sweden Since last post: 10 hours Last activity: 9 hours |
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Originally posted by RYjet911 As far as I know, there's two of them in the swedish language. Tre (Three) Fyra (Four) </uselessinfo |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86  Posts: 2640/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| Divide any whole number less that 7 by 7, and you get a sequence that always repeats the numbers 714285 | |||
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tetsu Newcomer Level: 4  Posts: 2/6 EXP: 229 For next: 50 Since: 03-03-05 From: Right behind you Since last post: 236 days Last activity: 39 days |
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| wow. whoever thought of those had a lot of time on their hands | |||
Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 1812/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| I like the thought of perfect numbers... Six, for example, can have all three of its factors added together to make itself. 1+2+3=6. The same goes for 28. 1+2+4+7+14=28. |
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NSNick Laidback Admin Level: 85  Posts: 1872/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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Originally posted by RYjet911You mean two integer answers. |
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Teundusia Lantern Ghost Level: 41 Posts: 145/760 EXP: 449109 For next: 31036 Since: 07-31-04 Since last post: 15 hours Last activity: 14 hours |
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| well if you can find the decimal answers to these please feel free to post these are perfect numbers: 6, 28, 496, 8128, 33,550,336 to find these out use this formula: 2n-1 X (2n-1) To find the correct value for "n" you have to replace the N in this equation: (2N-1) so that the answer is a prime. replace the "n" in the first equation with the N in the second to find the perfect numbers. Example with 2: 22-1=3 3 is prime replacing 2 into this equation: 22-1 X (22-1) = 2 X (4-1) = 2 X 3 = 6 You can replace n with 2,3,5,7,11,13,17,19,31 and 61. They probably go much higher but there we go, the book only goes up to here with no other answers |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 1814/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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Originally posted by NSNickOriginally posted by RYjet911You mean two integer answers. Actually, there's 32 integer answers.  Don't forget about your negatives becoming positives when they're evenly exponentiated. But they're still the same number, so I guess that's cheating... (edited by Grey on 03-03-05 10:41 PM) |
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HyperLamer <||bass> and this was the soloution i thought of that was guarinteed to piss off the greatest amount of people Sesshomaru Tamaranian Level: 118 Posts: 3635/8210 EXP: 18171887 For next: 211027 Since: 03-15-04 From: Canada, w00t! LOL FAD Since last post: 2 hours Last activity: 2 hours |
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| A simple one I always found rather interesting: 2 + 2 = 4 2 * 2 = 4 2 ^ 2 = 4 Originally posted by RYjet911 Multiply by what?  |
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Teundusia Lantern Ghost Level: 41 Posts: 150/760 EXP: 449109 For next: 31036 Since: 07-31-04 Since last post: 15 hours Last activity: 14 hours |
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Originally posted by HyperHacker Whoops sorry... to multiply 10 112 359 550 561 797 808 988 764 044 943 820 224 719 by 9 you just move the 9 at the end of the answer to the front |
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King_Killa Koopa Level: 15  Posts: 5/117 EXP: 15096 For next: 1288 Since: 06-13-05 From: Shangri-La Since last post: 37 days Last activity: 18 days |
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Originally posted by Grey hah, the thought of perfect numbers is nothing. The forumla to generate one is a lot more fun. 2^(n-1) * 2^n-1 = perfect if 2^n-1 = prime I got bored and wrote a program to generate a large perfect number, I found on a website that 2^24036583-1 is prime, so if I plugged that number into my program, I would result with a perfect number. I let it run all night and ended up with a 14,471,465 digit perfect number. |
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Legault Bot Level: 24  Posts: 133/269 EXP: 78075 For next: 50 Since: 12-24-04 From: Schools out...YES!!! Summer vacation. Since last post: 13 days Last activity: 4 days |
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| uh yeah. I like the quadratic equation. -b+/- I HAVE NO SQUARE ROOT KEY!!! damn you gateway keyboard. |
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Kitten Yiffer Purple wand Furry moderator Vivent l'exp����¯�¿�½������©rience de signalisation d'amusement, ou bien ! Level: 135 Posts: 9995/11162 EXP: 28824106 For next: 510899 Since: 03-15-04 From: Sweden Since last post: 3 hours Last activity: 4 min. |
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| Uhm... if your talking about ^ it should be on every Keyboard. It is on all Swedish keyboard. If you don't find it, then it's still there but just not defined on the keyboard.  |
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Legault Bot Level: 24 Posts: 138/269 EXP: 78075 For next: 50 Since: 12-24-04 From: Schools out...YES!!! Summer vacation. Since last post: 13 days Last activity: 4 days |
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| I don't find it on my keyboard....It should be right above the 6 but it isn't...There is nothing there. Well I still like that formula anyways. |
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Ikuzou Cheep-cheep Level: 19  Posts: 54/181 EXP: 30977 For next: 4800 Since: 05-24-05 From: Japan Since last post: 64 days Last activity: 3 days |
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| I like this best: i^i = 0.207879576 I understand e^i, but when it comes to i... WT...F I tried this on Google, and it managed to calculate it! |
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Tanookirby Bullet Bill Level: 30 Posts: 157/509 EXP: 152637 For next: 13232 Since: 05-09-05 Since last post: 2 days Last activity: 2 hours |
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Originally posted by Legault Another way of typing the square root of a number is to calculate it to the 1/2 power i.e. n^(1/2) = square root of n n^(1/3) = cube root of n And here's another math trick I learned 11111111 * 11111111 = 12345678987654321 Try calculating that by hand, and you'll know why the answer ends up that way. |
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King_Killa Koopa Level: 15 Posts: 23/117 EXP: 15096 For next: 1288 Since: 06-13-05 From: Shangri-La Since last post: 37 days Last activity: 18 days |
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I already know why it ends up like that.  each row will get shifted over one when multiplying, and when you add up the rows their will be one more to each new column. |
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beneficii Lakitu Level: 36 Posts: 185/567 EXP: 299656 For next: 8454 Since: 06-27-04 From: Cordova, TN, USA Since last post: 14 hours Last activity: 6 hours |
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| RYJet11, A silly trick: take any number from 1 to 9, times it by 3 then 37. what do you get? pick any number btween 3 and 27. multiply it by 37 and you get a 3 digit answer. this number will obviously divide by 37 but the funny thing is that if you move the first digit of the asnwer to the end, or the end digit to the front the answer ALSO divides by 37 Don't the two above sorta go together? You could have omitted the first one. Still, neat tricks! (edited by beneficii on 06-23-05 11:00 AM) |
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