6,831,808

2⁶ × 106747

Starting at 6,831,808, the Collatz iteration reaches 1 after 129 steps. The first transition is 3415904; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 106747

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,556,996

Proper Divisor Sum 6,725,188

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6831767 ← → #6831821

Radix Representation

Decimal	6831808
Binary	11010000011111011000000 (23 bits)
Octal	0o32037300
Hexadecimal	0x683EC0

Divisor Catalog (14)

1 2 4 8 16 32 64 106,747 213,494 426,988 853,976 1,707,952 3,415,904 6,831,808

Collatz Trajectory (129 steps to reach 1)

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

6,831,808 3,415,904 1,707,952 853,976 426,988 213,494 106,747 320,242 160,121 480,364 240,182 120,091 360,274 180,137 540,412 270,206 135,103 405,310 202,655 607,966 303,983 911,950 455,975 1,367,926 683,963 2,051,890 1,025,945 3,077,836 1,538,918 769,459 2,308,378 1,154,189 3,462,568 1,731,284 865,642 432,821 1,298,464 649,232 324,616 162,308 81,154 40,577 121,732 60,866 30,433 91,300 45,650 22,825 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008

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