Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000

Crazy Representations of Numbers from 1-100000

In 2013-2014, author (click here) wrote natural numbers in increasing and decreasing orders of 1 to 9 using only basic operations. See below some examples:

For more details and extension work by other see the following link:

• Inder J. Taneja, The Crazy Representations and 10958 Problem, 
  • Crazy Representations of Natural Numbers – The 10958 Problem – Numbers Magic (wordpress.com)
  • Crazy Representations of Natural Numbers – The 10958 Problem – Recreating Numbers and Magic Squares (numbers-magic.com)

The above study include the natural numbers till 30000. In some case factorials and or square-roots are used.

Recently, author wrote the above numbers till 100000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of factorials along with basic operations. Below are few examples:

These numbers are written in four parts. See the links below:

1. Inder J. Taneja, Crazy Representations of Natural Numbers From 20001 to 40000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642776.
2. Inder J. Taneja, Crazy Representations of Natural Numbers From 40001 to 60000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642826.
3. Inder J. Taneja, Crazy Representations of Natural Numbers From 60001 to 80000, Zenodo, November 03, 2021, pp. 1-537, https://doi.org/10.5281/zenodo.5642896.
4. Inder J. Taneja, Crazy Representations of Natural Numbers From 80001 to 100000, Zenodo, November 03, 2021, pp. 1-533, https://doi.org/10.5281/zenodo.5642929.

Crazy Representations of Numbers from 100001-200000

Recently, author wrote the numbers from 100001 to 200000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of factorials along with basic operations. Below are few examples:

These numbers are written in five parts. See the links below:

1. Inder J. Taneja, Crazy Representations of Natural Numbers From 100001 to 120000 – Revised, Zenodo, August 02, 2024, pp. 1-527, https://doi.org/10.5281/zenodo.13152357
2. Inder J. Taneja, Crazy Representations of Natural Numbers From 120001 to 140000 – Revised, Zenodo, August 02, 2024, pp. 1-524, https://doi.org/10.5281/zenodo.13153617
3. Inder J. Taneja, Crazy Representations of Natural Numbers From 140001 to 160000 – Revised, Zenodo, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13153790
4. Inder J. Taneja, Crazy Representations of Natural Numbers From 160001 to 180000 – Revised, Zenodo, August 02, 2024, pp. 1-521, https://doi.org/10.5281/zenodo.13153929
5. Inder J. Taneja, Crazy Representations of Natural Numbers From 180001 to 200000 – Revised, Zenodo, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13154022

In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with factorials. Below are these two numbers:

In case of decreasing orders we have all the numbers from 100001 to 200000 using only basic opertions and factorial.

Crazy Representations of Numbers from 200001-300000

The above study is extended to 300000 numbers, i.e., 200001-300000. Again the work is divided in five parts:

1. Inder J. Taneja, Crazy Representations of Natural Numbers from 200001 to 220000 – Revised, Zenodo, August 05, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13215779.
2. Inder J. Taneja, Crazy Representations of Natural Numbers from 220001 to 240000 – Revised, Zenodo, August 05, 2024, pp. 1-531, https://doi.org/10.5281/zenodo.13215838.
3. Inder J. Taneja, Crazy Representations of Natural Numbers from 240001 to 260000 – Revised, Zenodo, August 05, 2024, pp. 1-529, https://doi.org/10.5281/zenodo.13215887.
4. Inder J. Taneja, Crazy Representations of Natural Numbers from 260001 to 280000 – Revised, Zenodo, August 05, 2024, pp. 1-534, https://doi.org/10.5281/zenodo.13215912.
5. Inder J. Taneja, Crazy Representations of Natural Numbers from 280001 to 300000 – Revised, Zenodo, August 05, 2024, pp. 1-533, https://doi.org/10.5281/zenodo.13215947.

In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with factorials. Below are these two numbers:

In case of decreasing orders we have all the numbers from 200001 to 300000 using only basic opertions and factorial.

Crazy Representations of Different Kind

Still a different kind of work is done by using the palindromic digits as 1357-9-7531, 2022-2202 etc. See the following links:

• Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202, Zenodo, January 02, 2022, pp. 1-238, https://doi.org/10.5281/zenodo.5813778.
• Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531, Zenodo, January 06, 2022, pp. 1-266, https://doi.org/10.5281/zenodo.5826240.
• Inder J. Taneja, Hardy-Ramanujan Number – 1729, Zenodo, December 22, 2021, pp. 1-106,  https://doi.org/10.5281/zenodo.5799640.

Site Links of Crazy Representations

• Inder J. Taneja, The Crazy Representations and 10958 Problem, 
  • Crazy Representations of Natural Numbers – The 10958 Problem – Numbers Magic (wordpress.com)
  • Crazy Representations of Natural Numbers – The 10958 Problem – Recreating Numbers and Magic Squares (numbers-magic.com)
• Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 20001-100000
  • Crazy Representations of Natural Numbers Using Factorial: From 20001-100000 – Numbers Magic (wordpress.com)
  • Crazy Representations of Natural Numbers Using Factorial: From 20001-100000 – Recreating Numbers and Magic Squares (numbers-magic.com)
• Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 100001-200000
  • Crazy Representations of Natural Numbers Using Factorial: From 100001-200000 – Numbers Magic (wordpress.com)
  • Crazy Representations of Natural Numbers Using Factorial: From 100001-200000 – Recreating Numbers and Magic Squares (numbers-magic.com)
• Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000
  • Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 – Numbers Magic (wordpress.com)
  • Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 – Recreating Numbers and Magic Squares (numbers-magic.com)
• Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531
  • Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531 – Numbers Magic (wordpress.com)
  • Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531 – Recreating Numbers and Magic Squares (numbers-magic.com)
• Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202, 
  • Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202 – Numbers Magic (wordpress.com)
• Inder J. Taneja, Multiple Choices for Crazy Representations of Natural Numbers
  • Multiple Choices for Crazy Representations of Natural Numbers – Recreating Numbers and Magic Squares (numbers-magic.com)