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This chapter covers various digital invariants, including narcissistic numbers like 548834 = 56 + 46 + 86 + 86 + 36 + 46, Münchhausen numbers like 3435 = 33 + 44 + 33 + 55, Friedman numbers that can be written in some non-trivial way using their digits like 736 = 7 + 36, and printer error numbers like 34 × 72 × 875 = 3472875. All the narcissistic numbers in the decimal system are listed. Similarly, all the recurring digital invariants up to order 10, along with the number of cycles in the decimal system, are also tabulated in the chapter.

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Digital Invariants and Narcissistic Numbers

  • 章节

  • 发表日期：

    2025年

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  • Shyam Sunder Gupta

摘要

This chapter covers various digital invariants, including narcissistic numbers like 548834 = 56 + 46 + 86 + 86 + 36 + 46, Münchhausen numbers like 3435 = 33 + 44 + 33 + 55, Friedman numbers that can be written in some non-trivial way using their digits like 736 = 7 + 36, and printer error numbers like 34 × 72 × 875 = 3472875. All the narcissistic numbers in the decimal system are listed. Similarly, all the recurring digital invariants up to order 10, along with the number of cycles in the decimal system, are also tabulated in the chapter.