8,512,182

2 × 3³ × 7² × 3217

Starting at 8,512,182, the Collatz iteration reaches 1 after 243 steps. The first transition is 4256091; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 3217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,011,120

Proper Divisor Sum 13,498,938

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8512181 ← → #8512187

Radix Representation

Decimal	8512182
Binary	100000011110001010110110 (24 bits)
Octal	0o40361266
Hexadecimal	0x81E2B6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1,323 2,646 3,217 6,434 9,651 19,302 22,519 28,953 45,038 57,906 67,557 86,859 135,114 157,633 173,718 202,671 315,266 405,342 472,899 608,013 945,798 1,216,026 1,418,697 2,837,394 4,256,091 8,512,182

Collatz Trajectory (243 steps to reach 1)

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

8,512,182 4,256,091 12,768,274 6,384,137 19,152,412 9,576,206 4,788,103 14,364,310 7,182,155 21,546,466 10,773,233 32,319,700 16,159,850 8,079,925 24,239,776 12,119,888 6,059,944 3,029,972 1,514,986 757,493 2,272,480 1,136,240 568,120 284,060 142,030 71,015 213,046 106,523 319,570 159,785 479,356 239,678 119,839 359,518 179,759 539,278 269,639 808,918 404,459 1,213,378 606,689 1,820,068 910,034 455,017 1,365,052 682,526 341,263 1,023,790 511,895 1,535,686 767,843 2,303,530 1,151,765 3,455,296 1,727,648 863,824 431,912 215,956 107,978 53,989

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