List questions from decimal-expansion

Published on 25 Mar 2026 - 23:37

888

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How many 6-digit numbers contain exactly 4 different digits?

Published on 26 Mar 2026 - 12:45

1.1k

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Distinct digits in a combination of 6 digits

Published on 26 Mar 2026 - 12:47

225

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Determine all $n$-digit numbers that are divisible by the cyclic permutations of its digits

Published on 23 Jul 2016 - 13:24

247

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Can a change of basis modify irrationality/transcendence?

Published on 26 Mar 2026 - 16:26

5.6k

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Is $2^{16} = 65536$ the only power of $2$ that has no digit which is a power of $2$ in base-$10$?

Published on 27 Jul 2016 - 23:37

476

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Simplifying this fraction in a different base

Published on 25 Mar 2026 - 19:10

5.2k

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To find last two digits of $2^{100}$

Published on 26 Mar 2026 - 12:48

3.7k

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Find the rational number whose decimal expansion is $0.3344444444\dots$

Published on 04 Aug 2016 - 8:19

88

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Why does the expression $\frac {x(10^x-1)}{9}$ yield "$x$, repeated $x$ times" (eg, $5\to 55555$)?

Published on 10 Aug 2016 - 19:59

738

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What is $10$ in base $11$ and what is $11$ in base $11$?

Published on 12 Aug 2016 - 4:18

53

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What is the "digits number"?

Published on 15 Aug 2016 - 14:14

414

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Why don't we have a distinctive symbol for 10?

Published on 26 Mar 2026 - 14:25

7.7k

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Are infinitesimals equal to zero?

Published on 28 Mar 2026 - 17:05

2.2k

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Is there any perfect square in the sequence $12,123,1234,12345,...$?

Published on 24 Aug 2016 - 21:10

List Question

Are there any natural proofs of irrationality using the decimal characterization?

How many 6-digit numbers contain exactly 4 different digits?

Distinct digits in a combination of 6 digits

Determine all $n$-digit numbers that are divisible by the cyclic permutations of its digits

Can a change of basis modify irrationality/transcendence?

Is $2^{16} = 65536$ the only power of $2$ that has no digit which is a power of $2$ in base-$10$?

Simplifying this fraction in a different base

To find last two digits of $2^{100}$

Find the rational number whose decimal expansion is $0.3344444444\dots$

Why does the expression $\frac {x(10^x-1)}{9}$ yield "$x$, repeated $x$ times" (eg, $5\to 55555$)?

What is $10$ in base $11$ and what is $11$ in base $11$?

What is the "digits number"?

Why don't we have a distinctive symbol for 10?

Are infinitesimals equal to zero?

Is there any perfect square in the sequence $12,123,1234,12345,...$?

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