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Draft:10001 (number)

From Wikipedia, the free encyclopedia
  • 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)


10000 10001 10002
Cardinalten thousand one
Ordinal10001st
(ten thousand first)
Factorization73 × 137
Greek numeral͵α´
Roman numeralXI, xi
Binary100111000100012
Ternary1112011023
Senary1141456
Octal234218
Duodecimal595512
Hexadecimal271116

10,001 (ten thousand [and] one) is the composite natural number following 10,000 and preceding 10,002.

In number theory

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It is an odd palindromic number.[1][2]

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.[3]

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).[4][5]

Pascal’s triangle
x 10001x
0 1
1 10,001
2 100,020,001
3 1,000,300,030,001
4 10,004,000,600,040,001

See also

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References

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  1. "A029950 - OEIS". oeis.org. Retrieved 2026-06-15.
  2. "Properties of the number 10001". www.numberempire.com. Retrieved 27 June 2026.
  3. "A007088 - OEIS". oeis.org. Retrieved 2026-06-15.
  4. "Pascal's Triangle". Math is Fun. Retrieved 2026-06-15.
  5. Weisstein, Eric W. "Pascal's Triangle". mathworld.wolfram.com. Retrieved 2026-07-09.