5
The honorary even number.
69: “am I a joke to you?”
It’s ok 69. You’re perfect just the way you are <3
69 is a Nice number.
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.
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)
Numerology is so weird
Perfect numbers are number theory not numerology
I mean kinda? We’re assigning importance to a neat coincidence.
On the one hand, sure.
On the other hand, a lot of significant things in math and science came about because someone noticed and then studied a neat coincidence.
33550336 is pretty odd. look at those pairs. they must be fuckin.
Amicable with benefits
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’s no Queen of England though, Titan was just ahead of his time.
Omg he predicted her death???
noodd
He probably nod his head a little to much
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Here is an alternative YouTube link(s):
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YouTube is a privacy-disrespecting closed-source alternative frontend to Piped.
I’m a sack of flesh; check me out at kbin or [email protected]
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