8,353,557

3³ × 309391

Starting at 8,353,557, the Collatz iteration reaches 1 after 124 steps. The first transition is 25060672; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 309391

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,375,680

Proper Divisor Sum 4,022,123

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8353547 ← → #8353561

Radix Representation

Decimal	8353557
Binary	11111110111011100010101 (23 bits)
Octal	0o37673425
Hexadecimal	0x7F7715

Divisor Catalog (8)

1 3 9 27 309,391 928,173 2,784,519 8,353,557

Collatz Trajectory (124 steps to reach 1)

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

8,353,557 25,060,672 12,530,336 6,265,168 3,132,584 1,566,292 783,146 391,573 1,174,720 587,360 293,680 146,840 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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