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Title: :  SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER
PaperId: :  26665
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 11 Issue 3 2025
DUI:    16.0415/IJARIIE-26665
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Anuradha GuptaUNIVERSITY OF DELHI
Kailash vishwakarma BNPG College Rath, Physics Department, Hamirpur, Uttar Pradesh
DEEPIKA SINGHUNIVERSITY OF DELHI

Abstract

MATHEMATICS
SUM OF CUBES, CROSS-DIGIT SUM, ARMSTRONG NUMBERS
In this paper, we computed the sum of cubes of digits of any double digit number and have obtained cycles for the same. All the numbers with cycles of sum of cubes of digits are classified into different tables depending upon the last number obtained. Most of these numbers satisfy specific property. Tables containing these cycles along with the cross-digit sum of the cycles are categorically presented and analyzed.

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IJARIIE Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. "SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER" International Journal Of Advance Research And Innovative Ideas In Education Volume 11 Issue 3 2025 Page 2653-2667
MLA Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. "SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER." International Journal Of Advance Research And Innovative Ideas In Education 11.3(2025) : 2653-2667.
APA Anuradha Gupta, Kailash vishwakarma, & DEEPIKA SINGH. (2025). SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER. International Journal Of Advance Research And Innovative Ideas In Education, 11(3), 2653-2667.
Chicago Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. "SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER." International Journal Of Advance Research And Innovative Ideas In Education 11, no. 3 (2025) : 2653-2667.
Oxford Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. 'SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER', International Journal Of Advance Research And Innovative Ideas In Education, vol. 11, no. 3, 2025, p. 2653-2667. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/SUM_OF_CUBES_OF_DIGITS_OF_ANY_DOUBLE_DIGIT_NUMBER_ijariie26665.pdf (Accessed : ).
Harvard Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. (2025) 'SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER', International Journal Of Advance Research And Innovative Ideas In Education, 11(3), pp. 2653-2667IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/SUM_OF_CUBES_OF_DIGITS_OF_ANY_DOUBLE_DIGIT_NUMBER_ijariie26665.pdf (Accessed : )
IEEE Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH, "SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER," International Journal Of Advance Research And Innovative Ideas In Education, vol. 11, no. 3, pp. 2653-2667, May-Jun 2025. [Online]. Available: https://ijariie.com/AdminUploadPdf/SUM_OF_CUBES_OF_DIGITS_OF_ANY_DOUBLE_DIGIT_NUMBER_ijariie26665.pdf [Accessed : ].
Turabian Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. "SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 11 number 3 ().
Vancouver Anuradha Gupta, Kailash vishwakarma, and DEEPIKA SINGH. SUM OF CUBES OF DIGITS OF ANY DOUBLE DIGIT NUMBER. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2025 [Cited : ]; 11(3) : 2653-2667. Available from: https://ijariie.com/AdminUploadPdf/SUM_OF_CUBES_OF_DIGITS_OF_ANY_DOUBLE_DIGIT_NUMBER_ijariie26665.pdf
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