8,666,144

2⁵ × 107 × 2531

Starting at 8,666,144, the Collatz iteration reaches 1 after 119 steps. The first transition is 4333072; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 107 × 2531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,227,728

Proper Divisor Sum 8,561,584

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8666137 ← → #8666153

Radix Representation

Decimal	8666144
Binary	100001000011110000100000 (24 bits)
Octal	0o41036040
Hexadecimal	0x843C20

Divisor Catalog (24)

1 2 4 8 16 32 107 214 428 856 1,712 2,531 3,424 5,062 10,124 20,248 40,496 80,992 270,817 541,634 1,083,268 2,166,536 4,333,072 8,666,144

Collatz Trajectory (119 steps to reach 1)

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

8,666,144 4,333,072 2,166,536 1,083,268 541,634 270,817 812,452 406,226 203,113 609,340 304,670 152,335 457,006 228,503 685,510 342,755 1,028,266 514,133 1,542,400 771,200 385,600 192,800 96,400 48,200 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529

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