λ
Integer Codex

471,923

471923
Deficient Odd Prime

For 471,923, the 2 positive divisors have a total of 471,924. Removing 471,923 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 471923
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 471,924
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #471907 ← → #471929

Radix Representation

Decimal 471923
Binary 1110011001101110011 (19 bits)
Octal 0o1631563
Hexadecimal 0x73373

Divisor Catalog (2)

Collatz Trajectory (107 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

471,923 1,415,770 707,885 2,123,656 1,061,828 530,914 265,457 796,372 398,186 199,093 597,280 298,640 149,320 74,660 37,330 18,665 55,996 27,998 13,999 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782

More profiles

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