6,839,180

2² × 5 × 341959

Starting at 6,839,180, the Collatz iteration reaches 1 after 129 steps. The first transition is 3419590; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 341959

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,362,320

Proper Divisor Sum 7,523,140

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6839153 ← → #6839197

Radix Representation

Decimal	6839180
Binary	11010000101101110001100 (23 bits)
Octal	0o32055614
Hexadecimal	0x685B8C

Divisor Catalog (12)

1 2 4 5 10 20 341,959 683,918 1,367,836 1,709,795 3,419,590 6,839,180

Collatz Trajectory (129 steps to reach 1)

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

6,839,180 3,419,590 1,709,795 5,129,386 2,564,693 7,694,080 3,847,040 1,923,520 961,760 480,880 240,440 120,220 60,110 30,055 90,166 45,083 135,250 67,625 202,876 101,438 50,719 152,158 76,079 228,238 114,119 342,358 171,179 513,538 256,769 770,308 385,154 192,577 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701 137,104 68,552 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231

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