8,387,192

2³ × 11 × 191 × 499

Starting at 8,387,192, the Collatz iteration reaches 1 after 181 steps. The first transition is 4193596; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 191 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,280,000

Proper Divisor Sum 8,892,808

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8387191 ← → #8387219

Radix Representation

Decimal	8387192
Binary	11111111111101001111000 (23 bits)
Octal	0o37775170
Hexadecimal	0x7FFA78

Divisor Catalog (32)

1 2 4 8 11 22 44 88 191 382 499 764 998 1,528 1,996 2,101 3,992 4,202 5,489 8,404 10,978 16,808 21,956 43,912 95,309 190,618 381,236 762,472 1,048,399 2,096,798 4,193,596 8,387,192

Collatz Trajectory (181 steps to reach 1)

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

8,387,192 4,193,596 2,096,798 1,048,399 3,145,198 1,572,599 4,717,798 2,358,899 7,076,698 3,538,349 10,615,048 5,307,524 2,653,762 1,326,881 3,980,644 1,990,322 995,161 2,985,484 1,492,742 746,371 2,239,114 1,119,557 3,358,672 1,679,336 839,668 419,834 209,917 629,752 314,876 157,438 78,719 236,158 118,079 354,238 177,119 531,358 265,679 797,038 398,519 1,195,558 597,779 1,793,338 896,669 2,690,008 1,345,004 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177

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