λ
Integer Codex

8,405,417

8405417
Deficient Odd Prime

For 8,405,417, the 2 positive divisors have a total of 8,405,418. Removing 8,405,417 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8405417
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,405,418
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8405407 ← → #8405431

Radix Representation

Decimal 8405417
Binary 100000000100000110101001 (24 bits)
Octal 0o40040651
Hexadecimal 0x8041A9

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,405,417 25,216,252 12,608,126 6,304,063 18,912,190 9,456,095 28,368,286 14,184,143 42,552,430 21,276,215 63,828,646 31,914,323 95,742,970 47,871,485 143,614,456 71,807,228 35,903,614 17,951,807 53,855,422 26,927,711 80,783,134 40,391,567 121,174,702 60,587,351 181,762,054 90,881,027 272,643,082 136,321,541 408,964,624 204,482,312 102,241,156 51,120,578 25,560,289 76,680,868 38,340,434 19,170,217 57,510,652 28,755,326 14,377,663 43,132,990 21,566,495 64,699,486 32,349,743 97,049,230 48,524,615 145,573,846 72,786,923 218,360,770 109,180,385 327,541,156 163,770,578 81,885,289 245,655,868 122,827,934 61,413,967 184,241,902 92,120,951 276,362,854 138,181,427 414,544,282

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