8,986,656

2⁵ × 3 × 7 × 43 × 311

Starting at 8,986,656, the Collatz iteration reaches 1 after 150 steps. The first transition is 4493328; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 43 × 311

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,675,648

Proper Divisor Sum 18,688,992

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8986573 ← → #8986657

Radix Representation

Decimal	8986656
Binary	100010010010000000100000 (24 bits)
Octal	0o42220040
Hexadecimal	0x892020

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 311 336 344 516 602 622 672 688 903 933 1,032 1,204 1,244 1,376 1,806 1,866 2,064 2,177 2,408 2,488 3,612 3,732 4,128 4,354 4,816 4,976 6,531 7,224 7,464 8,708 9,632 9,952

Collatz Trajectory (150 steps to reach 1)

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

8,986,656 4,493,328 2,246,664 1,123,332 561,666 280,833 842,500 421,250 210,625 631,876 315,938 157,969 473,908 236,954 118,477 355,432 177,716 88,858 44,429 133,288 66,644 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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