8,025,182

2 × 11 × 19 × 73 × 263

Starting at 8,025,182, the Collatz iteration reaches 1 after 142 steps. The first transition is 4012591; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 73 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,065,920

Proper Divisor Sum 6,040,738

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8025181 ← → #8025211

Radix Representation

Decimal	8025182
Binary	11110100111010001011110 (23 bits)
Octal	0o36472136
Hexadecimal	0x7A745E

Divisor Catalog (32)

1 2 11 19 22 38 73 146 209 263 418 526 803 1,387 1,606 2,774 2,893 4,997 5,786 9,994 15,257 19,199 30,514 38,398 54,967 109,934 211,189 364,781 422,378 729,562 4,012,591 8,025,182

Collatz Trajectory (142 steps to reach 1)

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

8,025,182 4,012,591 12,037,774 6,018,887 18,056,662 9,028,331 27,084,994 13,542,497 40,627,492 20,313,746 10,156,873 30,470,620 15,235,310 7,617,655 22,852,966 11,426,483 34,279,450 17,139,725 51,419,176 25,709,588 12,854,794 6,427,397 19,282,192 9,641,096 4,820,548 2,410,274 1,205,137 3,615,412 1,807,706 903,853 2,711,560 1,355,780 677,890 338,945 1,016,836 508,418 254,209 762,628 381,314 190,657 571,972 285,986 142,993 428,980 214,490 107,245 321,736 160,868 80,434 40,217 120,652 60,326 30,163 90,490 45,245 135,736 67,868 33,934 16,967 50,902

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