8,231,446

2 × 19 × 216617

Starting at 8,231,446, the Collatz iteration reaches 1 after 137 steps. The first transition is 4115723; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 216617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,997,080

Proper Divisor Sum 4,765,634

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8231437 ← → #8231449

Radix Representation

Decimal	8231446
Binary	11111011001101000010110 (23 bits)
Octal	0o37315026
Hexadecimal	0x7D9A16

Divisor Catalog (8)

1 2 19 38 216,617 433,234 4,115,723 8,231,446

Collatz Trajectory (137 steps to reach 1)

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

8,231,446 4,115,723 12,347,170 6,173,585 18,520,756 9,260,378 4,630,189 13,890,568 6,945,284 3,472,642 1,736,321 5,208,964 2,604,482 1,302,241 3,906,724 1,953,362 976,681 2,930,044 1,465,022 732,511 2,197,534 1,098,767 3,296,302 1,648,151 4,944,454 2,472,227 7,416,682 3,708,341 11,125,024 5,562,512 2,781,256 1,390,628 695,314 347,657 1,042,972 521,486 260,743 782,230 391,115 1,173,346 586,673 1,760,020 880,010 440,005 1,320,016 660,008 330,004 165,002 82,501 247,504 123,752 61,876 30,938 15,469 46,408 23,204 11,602 5,801 17,404 8,702

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