This is my school's first year going to the FIRST robotics competition and out team number is 6357. It would be really neat if we could have some interesting thingy with that number or its digits, but we're stuck. Any ideas?
Oh boy, you're asking something really hard to do. Especially because only you know what you would consider "interesting".
(6*3*5*7) / (6+3+5+7) = (6 * 3)+5+7.
That's all I can come up with.
(6*3*5*7) / (6+3+5+7) = (6 * 3)+5+7.
That's all I can come up with.
So I shoved the number in the OEIS to see what pops up, and of course, in true OEIS fashion, incredibly niche and obscure things popped. Here are some of my personal favorites:
Overall, I would rate 6357 as a relatively boring number, although no number is truly boring
1) Numbers with no zeros such that the product of the digits of its cube is also a cube.
6357^3=256895581293
2*5*6*8*9*5*5*8*1*2*9*3=360^3 (a perfect cube)
2) Numbers n such that continued fraction for sqrt(n) has even period and central term 52.
the continued fraction: [79; 1, 2, 1, 2, 1, 1, 52, 1, 1, 2, 1, 2, 1, 158]
3) Numbers n such that n^3 - 4 and n^3 + 4 are prime.
256895581289 is prime, and 256895581297 is also prime
And my absolute favorite:
4) Beastly reciprocals, or numbers n such that digitsum(1/n) = 666.
1/6357~1.57 x 10⁻4
Digit sum of 0.000157306905773163441875098316816108227151171936448010067641969482460280006292276230926537675003932672644329086046877457920402705678779298411200251691049237061507 = 666
Overall, I would rate 6357 as a relatively boring number, although no number is truly boring
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