6,668,334

2 × 3² × 370463

Starting at 6,668,334, the Collatz iteration reaches 1 after 116 steps. The first transition is 3334167; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 370463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,448,096

Proper Divisor Sum 7,779,762

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6668273 ← → #6668341

Radix Representation

Decimal	6668334
Binary	11001011100000000101110 (23 bits)
Octal	0o31340056
Hexadecimal	0x65C02E

Divisor Catalog (12)

1 2 3 6 9 18 370,463 740,926 1,111,389 2,222,778 3,334,167 6,668,334

Collatz Trajectory (116 steps to reach 1)

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

6,668,334 3,334,167 10,002,502 5,001,251 15,003,754 7,501,877 22,505,632 11,252,816 5,626,408 2,813,204 1,406,602 703,301 2,109,904 1,054,952 527,476 263,738 131,869 395,608 197,804 98,902 49,451 148,354 74,177 222,532 111,266 55,633 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054

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