4,005,342

2 × 3³ × 11² × 613

Starting at 4,005,342, the Collatz iteration reaches 1 after 198 steps. The first transition is 2002671; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11^2 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,799,440

Proper Divisor Sum 5,794,098

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4005341 ← → #4005343

Radix Representation

Decimal	4005342
Binary	1111010001110111011110 (22 bits)
Octal	0o17216736
Hexadecimal	0x3D1DDE

Divisor Catalog (48)

1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 613 726 1,089 1,226 1,839 2,178 3,267 3,678 5,517 6,534 6,743 11,034 13,486 16,551 20,229 33,102 40,458 60,687 74,173 121,374 148,346 182,061 222,519 364,122 445,038 667,557 1,335,114 2,002,671 4,005,342

Collatz Trajectory (198 steps to reach 1)

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

4,005,342 2,002,671 6,008,014 3,004,007 9,012,022 4,506,011 13,518,034 6,759,017 20,277,052 10,138,526 5,069,263 15,207,790 7,603,895 22,811,686 11,405,843 34,217,530 17,108,765 51,326,296 25,663,148 12,831,574 6,415,787 19,247,362 9,623,681 28,871,044 14,435,522 7,217,761 21,653,284 10,826,642 5,413,321 16,239,964 8,119,982 4,059,991 12,179,974 6,089,987 18,269,962 9,134,981 27,404,944 13,702,472 6,851,236 3,425,618 1,712,809 5,138,428 2,569,214 1,284,607 3,853,822 1,926,911 5,780,734 2,890,367 8,671,102 4,335,551 13,006,654 6,503,327 19,509,982 9,754,991 29,264,974 14,632,487 43,897,462 21,948,731 65,846,194 32,923,097

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