8,091,804

2² × 3 × 7 × 96331

Starting at 8,091,804, the Collatz iteration reaches 1 after 137 steps. The first transition is 4045902; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 96331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,578,368

Proper Divisor Sum 13,486,564

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8091803 ← → #8091821

Radix Representation

Decimal	8091804
Binary	11110110111100010011100 (23 bits)
Octal	0o36674234
Hexadecimal	0x7B789C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 96,331 192,662 288,993 385,324 577,986 674,317 1,155,972 1,348,634 2,022,951 2,697,268 4,045,902 8,091,804

Collatz Trajectory (137 steps to reach 1)

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

8,091,804 4,045,902 2,022,951 6,068,854 3,034,427 9,103,282 4,551,641 13,654,924 6,827,462 3,413,731 10,241,194 5,120,597 15,361,792 7,680,896 3,840,448 1,920,224 960,112 480,056 240,028 120,014 60,007 180,022 90,011 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162 64,081 192,244 96,122 48,061 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960

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