9,120,466

2 × 17 × 23 × 107 × 109

Starting at 9,120,466, the Collatz iteration reaches 1 after 80 steps. The first transition is 4560233; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 107 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,396,480

Proper Divisor Sum 6,276,014

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9120427 ← → #9120473

Radix Representation

Decimal	9120466
Binary	100010110010101011010010 (24 bits)
Octal	0o42625322
Hexadecimal	0x8B2AD2

Divisor Catalog (32)

1 2 17 23 34 46 107 109 214 218 391 782 1,819 1,853 2,461 2,507 3,638 3,706 4,922 5,014 11,663 23,326 41,837 42,619 83,674 85,238 198,271 268,249 396,542 536,498 4,560,233 9,120,466

Collatz Trajectory (80 steps to reach 1)

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

9,120,466 4,560,233 13,680,700 6,840,350 3,420,175 10,260,526 5,130,263 15,390,790 7,695,395 23,086,186 11,543,093 34,629,280 17,314,640 8,657,320 4,328,660 2,164,330 1,082,165 3,246,496 1,623,248 811,624 405,812 202,906 101,453 304,360 152,180 76,090 38,045 114,136 57,068 28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610

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