Draft:10001 (number)
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Submission declined on 20 September 2026 by Hurricane Wind and Fire (talk).
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This draft has been resubmitted and is currently awaiting re-review. |  |
Submission declined on 22 July 2026 by LittlePuppers (talk). This draft's references do not show that the number meets Wikipedia's criteria for inclusion for numbers. The draft requires either:
Declined by LittlePuppers 2 months ago.
or multiple published secondary sources that:
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Submission declined on 15 June 2026 by ChrysGalley (talk). This draft's references do not show that the number meets Wikipedia's criteria for inclusion for numbers. The draft requires either:
Declined by ChrysGalley 3 months ago.
or multiple published secondary sources that:
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This draft's references do not show that the number meets Wikipedia's criteria for inclusion for numbers. The draft requires either:
Declined by Nil NZ 4 months ago.
or multiple published secondary sources that:
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Comment: I've added sources from The Penguin Dictionary of Curious and Interesting Numbers, and from Those Fascinating Numbers. Budew1234 (talk) 19:27, 22 September 2026 (UTC)
- Comment: I may be missing something, but based on the sources this doesn't meet WP:NNUMBER. Other than being part of Pascal's triangle (which on its own doesn't mean it's notable) it seems as run of the mill as any other number. 🌀Hurricane Wind and Fire, why'd you decline my draft? (talk, contribs)🔥 02:29, 20 September 2026 (UTC)
- Comment: Please rename this to “10,001 (number)” if it is accepted. Γ+2 (talk) 14:28, 15 June 2026 (UTC)
- Comment: No sourcing shown to meet the requirements of the specific criteria listed above. The marginal changes since the last decline are not shifting the goalposts of the previous AFD, even if it was a little while ago. ChrysGalley (talk) 13:40, 15 June 2026 (UTC)
- Comment: Just noting previous discussions about this number as well at WP:Articles for deletion/10001 (number) & WP:Redirects for discussion/Log/2022 July 11#10001 (number). In solidarity, nil nz 09:34, 28 May 2026 (UTC)
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|---|---|---|---|---|
| Cardinal | ten thousand one | |||
| Ordinal | 10001st (ten thousand first) | |||
| Factorization | 73 × 137 | |||
| Divisors | 1, 73, 137, 10001 | |||
| Greek numeral | ͵α´ | |||
| Roman numeral | XI, xi | |||
| Binary | 100111000100012 | |||
| Ternary | 1112011023 | |||
| Senary | 1141456 | |||
| Octal | 234218 | |||
| Duodecimal | 595512 | |||
| Hexadecimal | 271116 | |||
10,001 (ten thousand [and] one) is the composite natural number following 10,000 and preceding 10,002.[1]
In number theory
[edit]It is an odd palindromic number.[2][1] It's square is also a palindromic number.[3] Similar to a palindrome, it is also a strobogrammatic number.[4]
Base 10 is the smallest base where it is palindromic. It only has the digits 0 and 1, which means it can be interpreted as a binary number read in base 10.[5]
Its prime factorization is 73 × 137. Compare it to the prime number 101, 1001 equals to 7 × 11 × 13, and 100,001 equals to 11 × 9091.[6]
All of its powers below the fifth power (and above negative powers) are also palindromic, and like all numbers of the form 10x + 1 (x is an integer, x > 1), its powers spell out rows of Pascal's triangle, as depicted in the table below (placeholder zeros are depicted in subscript to make numerical sections corresponding to Pascal's triangle more noticeable).[7][8]
| x | 10001x |
|---|---|
| 0 | 1 |
| 1 | 10,001 |
| 2 | 100,020,001 |
| 3 | 1,000,300,030,001 |
| 4 | 10,004,000,600,040,001 |
Multiplication trick
[edit]10001 can be used as a trick in multiplication, as entering any 4-digit number twice is the equivalent as multiplying it by 10001.[9]
As for example using 1234:
The 8-digit number is divisible by the original 4-digit number and by 10001,[9] and 10001 can be divided into the prime factorization, 73 × 137.[10] This can be expressed more clearly in a factor tree:[9]
12341234
/ \
/ \
/ \
1234 10001
/ \
/ \
/ \
73 137
Because of this, Any 8-digit number that has repeated 4-digit numbers will always be divisible by the original 4-digit number, 137 and 73.[10][9]
See also
[edit]- 10001 (ZIP code)
- 10001 Palermo
References
[edit]- 1 2 Vanovschi, Vitalii. "Properties of the number 10001". www.numberempire.com. Retrieved 2026-06-27.
- ↑ "A029950 - OEIS". oeis.org. Retrieved 2026-06-15.
- ↑ Sloane, N. J. A. (ed.). "Sequence A002778 (Numbers whose square is a palindrome)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A000787 (Strobogrammatic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "A007088 - OEIS". oeis.org. Retrieved 2026-06-15.
- ↑ Wells, David (1997). The Penguin Dictionary of Curious and Interesting Numbers (revised ed.). p. 162. ISBN 0-14-026149-4.
- ↑ "Pascal's Triangle". Math is Fun. Retrieved 2026-06-15.
- ↑ Weisstein, Eric W. "Pascal's Triangle". mathworld.wolfram.com. Retrieved 2026-07-09.
- 1 2 3 4 Colgan, Lynda (March 2011). Mathemagic!: Number Tricks. Kids Can Press Ltd. ISBN 978-1-55453-425-8.
- 1 2 Koninck, Jean-Marie De (2009). Those Fascinating Numbers. American Mathematical Soc. ISBN 978-0-8218-4807-4.
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or multiple published secondary sources that:
- provide significant coverage: discuss the number in detail;
- are reliable: from reputable mathematical outlets with editorial oversight.
Please add references that meet these criteria. If no such sources exist, the number is not yet suitable for Wikipedia.