8,359,341

3 × 233 × 11959

Starting at 8,359,341, the Collatz iteration reaches 1 after 137 steps. The first transition is 25078024; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 233 × 11959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,194,560

Proper Divisor Sum 2,835,219

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8359331 ← → #8359343

Radix Representation

Decimal	8359341
Binary	11111111000110110101101 (23 bits)
Octal	0o37706655
Hexadecimal	0x7F8DAD

Divisor Catalog (8)

1 3 233 699 11,959 35,877 2,786,447 8,359,341

Collatz Trajectory (137 steps to reach 1)

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

8,359,341 25,078,024 12,539,012 6,269,506 3,134,753 9,404,260 4,702,130 2,351,065 7,053,196 3,526,598 1,763,299 5,289,898 2,644,949 7,934,848 3,967,424 1,983,712 991,856 495,928 247,964 123,982 61,991 185,974 92,987 278,962 139,481 418,444 209,222 104,611 313,834 156,917 470,752 235,376 117,688 58,844 29,422 14,711 44,134 22,067 66,202 33,101 99,304 49,652 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839

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