3,368,142

2 × 3⁴ × 17 × 1223

Starting at 3,368,142, the Collatz iteration reaches 1 after 133 steps. The first transition is 1684071; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 17 × 1223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,997,616

Proper Divisor Sum 4,629,474

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3368117 ← → #3368171

Radix Representation

Decimal	3368142
Binary	1100110110010011001110 (22 bits)
Octal	0o14662316
Hexadecimal	0x3364CE

Divisor Catalog (40)

1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1,223 1,377 2,446 2,754 3,669 7,338 11,007 20,791 22,014 33,021 41,582 62,373 66,042 99,063 124,746 187,119 198,126 374,238 561,357 1,122,714 1,684,071 3,368,142

Collatz Trajectory (133 steps to reach 1)

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

3,368,142 1,684,071 5,052,214 2,526,107 7,578,322 3,789,161 11,367,484 5,683,742 2,841,871 8,525,614 4,262,807 12,788,422 6,394,211 19,182,634 9,591,317 28,773,952 14,386,976 7,193,488 3,596,744 1,798,372 899,186 449,593 1,348,780 674,390 337,195 1,011,586 505,793 1,517,380 758,690 379,345 1,138,036 569,018 284,509 853,528 426,764 213,382 106,691 320,074 160,037 480,112 240,056 120,028 60,014 30,007 90,022 45,011 135,034 67,517 202,552 101,276 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182

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