9,009,069

3 × 83 × 97 × 373

Starting at 9,009,069, the Collatz iteration reaches 1 after 256 steps. The first transition is 27027208; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 83 × 97 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,315,072

Proper Divisor Sum 3,306,003

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9009061 ← → #9009083

Radix Representation

Decimal	9009069
Binary	100010010111011110101101 (24 bits)
Octal	0o42273655
Hexadecimal	0x8977AD

Divisor Catalog (16)

1 3 83 97 249 291 373 1,119 8,051 24,153 30,959 36,181 92,877 108,543 3,003,023 9,009,069

Collatz Trajectory (256 steps to reach 1)

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

9,009,069 27,027,208 13,513,604 6,756,802 3,378,401 10,135,204 5,067,602 2,533,801 7,601,404 3,800,702 1,900,351 5,701,054 2,850,527 8,551,582 4,275,791 12,827,374 6,413,687 19,241,062 9,620,531 28,861,594 14,430,797 43,292,392 21,646,196 10,823,098 5,411,549 16,234,648 8,117,324 4,058,662 2,029,331 6,087,994 3,043,997 9,131,992 4,565,996 2,282,998 1,141,499 3,424,498 1,712,249 5,136,748 2,568,374 1,284,187 3,852,562 1,926,281 5,778,844 2,889,422 1,444,711 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174 8,228,087 24,684,262 12,342,131

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