What is a Rotatable Number™?

Question

_{This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.}

If a number conforms to a special rule, I call it a Rotatable Number.

Use the following examples below to find the rule.

If needed, a CSV version is available below.

ROTATABLE NUMBERS™,NON-ROTATABLE NUMBERS™
26,25
52,46
78,66
104,98
130,137
156,172
182,180

I'm not sure why this is downvoted. It seems like a good puzzle. Why the downvotes? — clickbait, Commented Feb 14, 2017 at 3:27
@clickbait i think it's because they can't accept until 5 min later and then they never came back and accepted. — Sensoray, Commented Mar 19, 2019 at 12:36

Deusovi · Accepted Answer · 2016-11-04 20:15:50Z

9

They're

multiples of 26, meaning under the ROT-$n$ cipher, any text will stay the same.

answered Nov 4, 2016 at 20:15

Deusovi♦

151k16 gold badges538 silver badges629 bronze badges

$\begingroup$ I noticed the pattern, but I think you've got the correct reason $\endgroup$
– Angzuril
Commented Nov 4, 2016 at 20:16
10

$\begingroup$ It's very well past 5 minutes. $\endgroup$
– greenturtle3141
Commented Nov 5, 2016 at 18:00
3

$\begingroup$ It's been 4 months. $\endgroup$
– bb216b3acfd8f72cbc8f899d4d6963
Commented Feb 21, 2017 at 1:51
2

$\begingroup$ ... 15 months later ... $\endgroup$
– A. P.
Commented Feb 12, 2018 at 21:48
1

$\begingroup$ I think this person forgot or something $\endgroup$
– Prince North Læraðr
Commented Feb 13, 2018 at 1:09

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Angzuril · Accepted Answer · 2016-11-04 20:14:47Z

7

Quick Answer

They are

A multiple of 26

And they are called rotatable because

I have no idea

answered Nov 4, 2016 at 20:14

Angzuril

6084 silver badges8 bronze badges

$\begingroup$ Because you can rotate the alphabet modulo 26? $\endgroup$
– Gabriel Burns
Commented Nov 4, 2016 at 20:16

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2 Answers 2