9,106,020

2² × 3⁴ × 5 × 7 × 11 × 73

Starting at 9,106,020, the Collatz iteration reaches 1 after 132 steps. The first transition is 4553010; the starting value is even with 240 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 7 × 11 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 36,102,528

Proper Divisor Sum 26,996,508

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9106007 ← → #9106039

Radix Representation

Decimal	9106020
Binary	100010101111001001100100 (24 bits)
Octal	0o42571144
Hexadecimal	0x8AF264

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 54 55 60 63 66 70 73 77 81 84 90 99 105 108 110 126 132 135 140 146 154 162 165 180 189 198 210 219 220 231 252 270 292 297

Collatz Trajectory (132 steps to reach 1)

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

9,106,020 4,553,010 2,276,505 6,829,516 3,414,758 1,707,379 5,122,138 2,561,069 7,683,208 3,841,604 1,920,802 960,401 2,881,204 1,440,602 720,301 2,160,904 1,080,452 540,226 270,113 810,340 405,170 202,585 607,756 303,878 151,939 455,818 227,909 683,728 341,864 170,932 85,466 42,733 128,200 64,100 32,050 16,025 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629

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