kyorofumi
with Matlab

a1 = 0;
for i = 3:992
if mod(992,i) == 0
a1 = a1+992/i;
end
end

a1 = 528
1013ڡ 0:08:07 45345
Ĺ
9922^531 ޤǧƤơ
992ѷ1
496ѷ2
248ѷ4
Τ褦ˡ992 ¤ɤȻפ䡢
2ѷ1ѷϤʤΤǡʬϽơ
(1+2+4+8+16+32)(1+31)992496528
Ȥޤ

ˤƤ Taroᤤ
Ϥޤޤġ 1013ڡ 0:08:16 HomePage:åλؤ45346

TaroˤĤᤤ
͡ 1013ڡ 0:10:05 45347
٥륯åĥ
992ͤưѷ992ġѷ496Ĥ¸ߤʤΤǡʳλͳѷ248ġɴ彽ѷ1Ĥפޤ
ǽ­ߥƴְ㤨ܤ
1013ڡ 0:11:34 45348
٥륯åĥ
褯ɤޤ¿ѷϤĤǤ뤫Ȼפäơ2942ʤȤʤƤɤ׻Ȼ̵֤̤ˤΤ̩

TaroᤤǤͤϤ30äǺѤޤȤƤ25äDz򤤤Ƥ뤳Ȥˤʤ롣
1013ڡ 0:16:50 45349

¤ƻ­ƥߥϢȯĸʬŪ˵٤äȿʡ
ˤƤɤࢪƻΩƤ뢪ǰʬ򤹤뢪µ뢪˺줺;ʬʤΤϤ1ʬˤäƤΤäƤΤޤ( ;;)
1013ڡ 0:17:41 45350
鯤ο
992=2^5*31
(1+2+4+8+16+32)*(1+31)-992-496=528
1013ڡ 0:18:25 45351
⡼ޥ
ä!!
ΤФ褫äΤͤ ^^;

992=2^5*31

31ѷ2^6-1=63
2^22^3*31
2^32^2*31
2^42*31
2^53131*(1+2+2^2+2^3)=31*(2^4-1)=31*15
so
31*15+63=528

ʤƹͤƤޤ^^;;
1013ڡ 0:26:20 45352
Mr.ǥ
Ʊ
(1+2+4+8+16+32)*(1+31)-992-496=528
Ȥ׻Ǥ

̤ƱǤǴƻ׻ߥ򤷤
빽֤äƤޤޤ
TaroϤʬƤͤȡƬǽκ˴ޤ
1013ڡ 0:28:18 45353
ˤ⡼
992=2^5*31ѤơNѷθĿͤޤ
NѷθĿϡ992θĿ31^0+31^1)*(2^0+2^1+2^2+2^3+2^4+2^5)
Τꤨʤѷȣѷ롣
ѷ992̤31^1*2^5) ѷ496̤31^1*2^4
31^0+31^1)*(2^0+2^1+2^2+2^3+2^4+2^5)-992-496=528

ʾ
޻Ա¶ʼΡˡ 1013ڡ 0:30:02 45354
Ȥ
992/4+992/8+992/16+992/31+992/32+992/62+992/124+992/248+992/496+992/992;528()
˭ԡ 1013ڡ 0:41:32 45355
ǯ
ᤤǤ
ǰʬְ㤨Ƥƺǽ餫ľ
Фơ1,2992äƹס
ɮǤä֤ޤ
Ȥ顢(1+2+4+8+16+32)*(1+31)-992-496=528 ˵դޤ
1013ڡ 0:42:29 45356
ˤ⡼
ΥݥȤ
ʸ顢992θĿ뤳Ȥȴ
ʤȤơʤǻƤߤϡ
θĿη׻ˡμڤӷ׻ι
ƨʤϡʺξ磱ѷȣѷ
͡ǤޤƤ뤳Ȥ´ޤΤ¿äǤ
޻Ա¶ʼΡˡ 1013ڡ 0:52:08 45357
Ȥ
XMaxima 1Ԥǽ񤱤ޤ

j:0$for n:3 thru 992 do (if mod(992,n)=0 then j:j+992/n)$j;528
˭ԡ 1013ڡ 1:04:23 MAIL:fttnm528@ybb.ne.jp 45358

992=2^531=2^4*(2*31)ᡦ2*(2^4*31)Ȥ
2^531򣲡ФΣѷ򣳣ФΣѷͤΤǣ̤ȣ̤

2*(2^4*31)򣲤Ф2^4*31ѷ̤ꡢ2^4*31ФϣѷʤΤǡ
Ȥ(2^5+2^4+2^3+2^2+2)(31+2*31+2^2*31+2^2*31+2^3*31)62+(1+2+4+8)*31=62+465=527
줺992ѷ˵ĤޤǤ֤󤫤äƤޤޤ
¤νФΤäƤϤʤΤˡΤ褦ˤȤǻȤʤΤΤȤǻȤƤʤʤȲƴȤǤ

Ϻꡡ 1013ڡ 2:28:57 45359
ˤ
992ǤǤ롣
Ŀ992/n
n=1,22016992496528
1013ڡ 2:35:48 MAIL:nikotan@fat.coara.or.jp 45360
ֿء׾ι
ŻǤޤ....׻ߥʡϡ
1013ڡ 4:38:19 45361
(Keigei)
992992ȡ1/2496Ǥ뤳Ȥ褫Ǥ͡
¿ѷθĿϡ992¤ 992 992/2496 Ф褤
992Τ496ǤʤΤ 992 32
496ϴʤΤǡ496 496ʳ¤ 496
¿ѷθĿϡ49632528 Ǥ
1013ڡ 5:36:29 45362
deu
פ֤˲򤤤Ƥߤޤ992ˤʤäƤΤϡ¤2016ʤΤġ
ͥϺǯĤξǤ͡
1013ڡ 8:00:04 45363
̴
#45349٥륯åĥͤƱǡʿä
ͤƤꡢʤɤ¿ѷȷ׻
527Ȥʤ줺󡼡ΡޤƬ˼ʷ
1013ڡ 8:12:52 45364
ǯ
#45349#45364ǹͤ줿褦ˡ¿ѷϤĤפȤ򤤤Ǥ͡
â992ѷǤϤȤǤʤˤʤΤǡ18ѷ餤ˤơ
ʺΰտޤȤϰäˤʤꤽǤ
1013ڡ 9:34:21 45365
uchinyan
Ϥˤϡơϡ
ϡ 992 ߤʬޤĿŪˤϾܿǤ
ܿߤǻȤƤɸŪפʴǡ

992ѷ 992 Ĥĺ餤Ĥ¿ѷˤϡ
¿ѷĺδ֤992ѷĺθĿʤФʤޤ
Τˤϡ992 ¿ѷѷΣо 992/ ̤꤬ǽˤʤޤ
992 = 2 * 2 * 2 * 2 * 2 * 31 ǡ 1 2 ϼʤȤդȡŪˤϼΤ褦ˤʤޤ
992 = 992 * 1992ѷ 1 ̤ꡤ
992 = 496 * 2496ѷ 2 ̤ꡤ
992 = 248 * 4248ѷ 4 ̤ꡤ
992 = 124 * 8124ѷ 8 ̤ꡤ
992 = 62 * 1662ѷ 16 ̤ꡤ
992 = 31 * 3231ѷ 32 ̤ꡤ
992 = 32 * 3132ѷ 31 ̤ꡤ
992 = 16 * 6231ѷ 62 ̤ꡤ
992 = 8 * 1248ѷ 124 ̤ꡤ
992 = 4 * 2484ѷ 248 ̤ꡤ
ޤǤǤ٤ƤʤΤǡ
1 + 2 + 4 + 8 + 16 + 32 + 31 + 62 + 124 + 248 = 528 ̤ꡤ
ˤʤޤ

ͤʬäƤޤС׻ιפϤȹͤޤ

ñˤ٤Ȥäƽ񤱤С
1 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 31 + 2 * 31 + 2^2 * 31 + 2^3 * 31
= (1 + 2 + 2^2 + 2^3 + 2^4 + 2^5) + (1 + 2 + 2^2 + 2^3) * 31
= 63 + 15 * 31
= 528 ̤ꡤ
Ȥ
1 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 31 + 2 * 31 + 2^2 * 31 + 2^3 * 31
= (1 + 2 + 2^2 + 2^3) + (1 + 2 + 2^2 + 2^3) * 31 + 2^4 + 2^5
= (1 + 2 + 2^2 + 2^3) * 32 + 16 + 32
= 15 * 32 + 48
= 528 ̤ꡤ
Ȥ
1 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 31 + 2 * 31 + 2^2 * 31 + 2^3 * 31
= 3 + (1 + 2 + 2^2 + 2^3) * 4 + (1 + 2 + 2^2 + 2^3) * 31
= 3 + (1 + 2 + 2^2 + 2^3) * (4 + 31)
= 3 + 15 * 35
= 528 ̤ꡤ
Ȥ

פ 992 ¤ 992/2 = 496 992 ФΤǡ
(1 + 2 + 2^2 + 2^3 + 2^4 + 2^5) * (1 + 31) - 496 - 992
= 63 * 32 - 1488
= 2016 - 1488
= 528 ̤ꡤ
992 ¤ 2016 ˤʤäΤϤȡ (^^;

ˤϤꤹȻפޤ496 = 2^4 * 31 = 2^4 * (2^5 - 1) ȵդС
992 ¤ 992/2 = 496 992 ȤΤϡ
Ǥ 496 ¤ 496 Ρϴ 496ȡ
496 ǤϤʤ 32 ­ФΤǡ
496 + 32 = 528 ̤ꡤ
ʤƤΤ⤢ޤ͡ϲʤʬäƤ뼫äɡˤĤ (^^;

פϳƿͤͽμȻפդɤˤΤ͡ǡɤ̯ʵ⤷ޤ
ޤޤ뤫Τޤ͡
1013ڡ 14:47:45 45366
uchinyan
ǼĤɤߤޤ


ʲεҤϡ⤽ϻ伫ȤٶΥ˲᤮ʤΤǤ
޳ѤʤΤǤͤޤǤˤȻפäƸΤǤ
Ȥ⤢äơˡʬϻ F.A.Q. ΡֻϰϡפεҤ򻲹ͤˡ
ĿͤǤиǼŪ˹ԤäƤΤǤäơҴŪʤΤǤϤޤ
ޤǤ⤴ͤǤ餺

ϡ
뤳ȤǤѷϣ 992 Τ 1 2 Τ 992/n ̤꤬ǽ
˹ͤˡΤ褦Ǥ͡
κݤ˾ο­׻ιפͽ̤ꤤĤ褦Ǥ
ʬषƤ⤤ΤǤ#45366ǼʾΤΤϤʤäΤǡޤʡȡ
ʤ992 ü˰¸ΤǡĿŪˤϲˡȤƤɤϵǤ
ñ˷׻̤򸺤餷ʤС496 ȤΤֳڤǤ
1013ڡ 13:29:35 45367
ߡ
Ƥäߤʤ󡤤꤬Ȥޤ.
Ǥ͡Ⱦ¤ʤɽѤǡΩΤΣդʤľѻѷѤ¤Ǥ롤ȤǤ
ץǤФƤμΤ褦ʵޤ͡
1015ڡ 5:11:25 45368
ߡ
ʤΤϤɤʡ
դ12Ѥ£ãĤꡤգ¾ˣš᣷ѤȤʤŤȤޤѷţġţ£ãĤ򤽤줾ѤʬʬƣǤͤޤƤգľǤգ£þǤƤϲѤǤ礦
1015ڡ 5:19:11 45369
⡼ޥ
#45369 ߡ
ιͤ狼䤹Ǥ

...
30/11
ˤʤޤ...äƤ뤫ʤ ^^
ſƱΤ֤Ȥͭ̾ˡǡOrz
1015ڡ 19:45:06 45370
٥륯åĥ
2cmǤ礦
1015ڡ 22:22:10 45371
uchinyan
ʬ줿褦ʤΤǻͤƤߤޤ
2 cm ˤʤޤ
1016 14:02:39 45372
Mr.ǥ
⡡ˤʤޤ
1016 15:18:29 45373
⡼ޥ
^^;
Կǻ^^;;
ɤΤʬ餺
ſ(4,7/3), (6,6)Ȼפɡʩʩ...
1016 22:25:41 45374
٥륯åĥ
ˡ񤤤Ƥ⤤Ǥ礦
ѷȤʬΤǡƣǤʬ뤿̤ޤŤĤʿԤƣƣǤȤθɡģŤȣƣǤθȤȤȡƣģȤȣɣţȤ׷ˤʤޤ
ǻݤʤΤǣƤxȤDH:HEFDIE12-xˡ7-x/6ˤxμɽơDFDHDADE12xx^2-17x+300򤤤x215ŬˤȤޤʬǤ򤱤ʤΤǡǤ⾯֤ǤǤ͡
1017ʷ 1:08:29 45375
٥륯åĥ
#45374
ſ̤ѤʬʪǤ͡Ȥѷνſ̤äưդʿԤȡѤ45ˤʤޤ󤤤ۤڤʤ礤ޤ
1017ʷ 1:25:41 45376

ꤷƹͤƤϤߤɡʤäơְۤʤĺפʤ
1017ʷ 10:03:55 45377

󤻡ѤǤ992ѷƤߤޤǧǤޤ󡪡
http://www.dotup.org/uploda/www.dotup.org1036722.jpg
1017ʷ 10:11:45 45378

󤻡ѤǤ992ѷƤߤޤǧǤޤ󡪡
http://www.dotup.org/uploda/www.dotup.org1036722.jpg
1017ʷ 10:20:07 45379
uchinyan
βˡϻȻפޤ

DE FG Ȥθ PDECB αĹθ Q
P ̤ ABDC ʿԤ ADBC Ȥθ HIȤޤ
AED = 42 cm^2EBCD = ABCD - AED = 144 - 42 = 102 cm^2ǡ
FG AEDEBCD 򤽤줾죲ʬΤǡPDF = 21 cm^2PEBG = 51 cm^2Ǥ
ǡEAD EBQꡤADBQ = AEBE12BQ = 75BQ = 60/7 cmȤʤꡤ
PQG = EQB + PEBG = 60/7 * 5 * 1/2 + 51 = 507/7 cm^2Ǥ
ǡPDFPQG = 21(507/7) = 49169ǡPDF PQGꡤ 713Ǥ
ꡤPHPI = 713PH = AB * 7/20 = 12 * 7/20 = 21/5 cmȤʤäơ
DF = (PDF * 2)/PH = (21 * 2)/(21/5) = 10 cmAF = AD - DF = 12 - 10 = 2 cmˤʤޤ
1017ʷ 12:32:45 45380
2N.K.
פ֤ޤ
֤ٶʤɤǤФ餯ޤǤ
ϡŪפǤ
1017ʷ 18:06:13 45381
⡼ޥ
#45376 ٥륯å
ˤǤ͡^^;
錄λפߤǤOrz
פγ񤷤 ^^;;
1017ʷ 20:09:48 45382
⡼ޥ
Ǥʤ?
ְ̾㤨ޤ ^^; Orz
٥륯åĥ
פγǤˤ ^^;;;
1017ʷ 20:15:24 45383
2N.K.
ʤ󤫺ĩԿ¿ʤǤ
ΥХʡ
1018ʲС 16:07:31 45384
̤ꤹ1
#45384
ʡ(ǯʤΤյǥߥޥm(_ _)m)
ȡֽͤޤ
PICK UP٤̵äǤ
񡡡 1019ʿ 23:53:14 HomePage:ͤοʳƮ45385