9,089,955

3³ × 5 × 7 × 9619

Starting at 9,089,955, the Collatz iteration reaches 1 after 119 steps. The first transition is 27269866; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 9619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,470,400

Proper Divisor Sum 9,380,445

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9089947 ← → #9089981

Radix Representation

Decimal	9089955
Binary	100010101011001110100011 (24 bits)
Octal	0o42531643
Hexadecimal	0x8AB3A3

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 9,619 28,857 48,095 67,333 86,571 144,285 201,999 259,713 336,665 432,855 605,997 1,009,995 1,298,565 1,817,991 3,029,985 9,089,955

Collatz Trajectory (119 steps to reach 1)

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

9,089,955 27,269,866 13,634,933 40,904,800 20,452,400 10,226,200 5,113,100 2,556,550 1,278,275 3,834,826 1,917,413 5,752,240 2,876,120 1,438,060 719,030 359,515 1,078,546 539,273 1,617,820 808,910 404,455 1,213,366 606,683 1,820,050 910,025 2,730,076 1,365,038 682,519 2,047,558 1,023,779 3,071,338 1,535,669 4,607,008 2,303,504 1,151,752 575,876 287,938 143,969 431,908 215,954 107,977 323,932 161,966 80,983 242,950 121,475 364,426 182,213 546,640 273,320 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610

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