9,008,661

3 × 193 × 15559

Starting at 9,008,661, the Collatz iteration reaches 1 after 137 steps. The first transition is 27025984; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 193 × 15559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,074,560

Proper Divisor Sum 3,065,899

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9008639 ← → #9008687

Radix Representation

Decimal	9008661
Binary	100010010111011000010101 (24 bits)
Octal	0o42273025
Hexadecimal	0x897615

Divisor Catalog (8)

1 3 193 579 15,559 46,677 3,002,887 9,008,661

Collatz Trajectory (137 steps to reach 1)

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

9,008,661 27,025,984 13,512,992 6,756,496 3,378,248 1,689,124 844,562 422,281 1,266,844 633,422 316,711 950,134 475,067 1,425,202 712,601 2,137,804 1,068,902 534,451 1,603,354 801,677 2,405,032 1,202,516 601,258 300,629 901,888 450,944 225,472 112,736 56,368 28,184 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

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