5
So you’re saying there is one? Because the line that’s replaced here is Tighten saying “There’s no Queen of England” with the point of the scene being showing he’s dumb for thinking something that does exist is like the other mythological things listed
There hasn’t been a Queen of England since the Acts of Union when the title was replaced with Queen of Great Britain.
31521281 = 11 × 17 × 59 × 2857
11 × 17 = 187
11 × 59 = 649
11 × 2857 = 31427
17 × 59 = 10003
17 × 2857 = 48569
59 × 2857 = 168563
17 × 59 × 2857 = 2865571
11 × 59 × 2857 = 1854193
11 × 17 × 2857 = 534259
11 × 17 × 59 = 11033
11+17+59+2857+11033+534259+1854193+2865571+168563+ 48569+10003+31427+649+187=5527398≠31521281
17 × 59 = 10003
you’ve got an extra zero in there, and you forgot the 1, but the rest of your divisors match my crude brute-force approach:
>>> n=31521281
>>> d = [ x for x in range(1,n//2+1) if not n%x ]
>>> d
[1, 11, 17, 59, 187, 649, 1003, 2857, 11033, 31427, 48569, 168563, 534259, 1854193, 2865571]
>>> yours=list(map(int,"11+17+59+2857+11033+534259+1854193+2865571+168563+48569+10003+31427+649+187".split("+")))
>>> set(yours) - set(d)
{10003}
>>> set(d) - set(yours)
{1, 1003}
>>> sum(d)
5518399
same conclusion though: 5518399 also ≠ 31521281
bonus nonsense
>>> isperfect = lambda n: n == sum(x for x in range(1,n//2+1) if not n%x)
>>> [n for n in range(1, 10000) if isperfect(n)]
[6, 28, 496, 8128]
(from https://oeis.org/A000396 i see the next perfect number after 8128 is 33550336 which is too big for me to wait for the naive approach above to test…)
more bonus nonsense
>>> divisors_if_perfect = lambda n: n == sum(d:=[x for x in range(1,n//2+1) if not n%x]) and d
>>> print("\n".join(f"{n:>5} == sum{tuple(d)}" for n in range(10000) if (d:=divisors_if_perfect(n))))
6 == sum(1, 2, 3)
28 == sum(1, 2, 4, 7, 14)
496 == sum(1, 2, 4, 8, 16, 31, 62, 124, 248)
8128 == sum(1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064)
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.
There is noodd.
