9,108,389

31 × 43 × 6833

Starting at 9,108,389, the Collatz iteration reaches 1 after 106 steps. The first transition is 27325168; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 43 × 6833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,622,272

Proper Divisor Sum 513,883

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9108331 ← → #9108419

Radix Representation

Decimal	9108389
Binary	100010101111101110100101 (24 bits)
Octal	0o42575645
Hexadecimal	0x8AFBA5

Divisor Catalog (8)

1 31 43 1,333 6,833 211,823 293,819 9,108,389

Collatz Trajectory (106 steps to reach 1)

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

9,108,389 27,325,168 13,662,584 6,831,292 3,415,646 1,707,823 5,123,470 2,561,735 7,685,206 3,842,603 11,527,810 5,763,905 17,291,716 8,645,858 4,322,929 12,968,788 6,484,394 3,242,197 9,726,592 4,863,296 2,431,648 1,215,824 607,912 303,956 151,978 75,989 227,968 113,984 56,992 28,496 14,248 7,124 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

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