10000 rounded to the nearest integer is 22,
20000 rounded to the nearest integer is 2101,
100000 rounded to the nearest integer is 212, and
200000 rounded to the nearest integer is 21010.
What is 1000000 rounded to the nearest integer?
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10
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2$\begingroup$ That looks like rot13(greanel)… $\endgroup$– SomeoneCommented Oct 28, 2023 at 23:58
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1$\begingroup$ It's rot13(greanel) but more acronym(greanel). $\endgroup$– mathlanderCommented Oct 29, 2023 at 19:48
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$\begingroup$ 81 => 8 162 => 64 243 => 20 486 => 192 Not seeing a pattern... $\endgroup$– SomeoneCommented Oct 29, 2023 at 19:54
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$\begingroup$ That's because you interpreted my earlier comment incorrectly. $\endgroup$– mathlanderCommented Oct 29, 2023 at 19:59
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1$\begingroup$ OOps, I meant anagram(greanel). $\endgroup$– mathlanderCommented Oct 30, 2023 at 17:26
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1 Answer
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1000000 rounded to the nearest integer is
2102
This is because
The numbers are written in base 3/2.
As a result,
10000 = $(3/2)^4$ = 81/16. This rounds to 5, which in base 3/2 is 22.
20000 = $2(3/2)^4$ = 162/16. This rounds to 10, which in base 3/2 is 2101.
100000 = $(3/2)^5$ = 243/32. This rounds to 8, which in base 3/2 is 212.
200000 = $2(3/2)^5$ = 486/32. This rounds to 15, which in base 3/2 is 21010.
1000000 = $(3/2)^6$ = 729/64. This rounds to 11, which in base 3/2 is 2102.
