6,839,046

2 × 3³ × 41 × 3089

Starting at 6,839,046, the Collatz iteration reaches 1 after 77 steps. The first transition is 3419523; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 41 × 3089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,573,600

Proper Divisor Sum 8,734,554

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6839029 ← → #6839047

Radix Representation

Decimal	6839046
Binary	11010000101101100000110 (23 bits)
Octal	0o32055406
Hexadecimal	0x685B06

Divisor Catalog (32)

1 2 3 6 9 18 27 41 54 82 123 246 369 738 1,107 2,214 3,089 6,178 9,267 18,534 27,801 55,602 83,403 126,649 166,806 253,298 379,947 759,894 1,139,841 2,279,682 3,419,523 6,839,046

Collatz Trajectory (77 steps to reach 1)

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

6,839,046 3,419,523 10,258,570 5,129,285 15,387,856 7,693,928 3,846,964 1,923,482 961,741 2,885,224 1,442,612 721,306 360,653 1,081,960 540,980 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208

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