6,789,888

2⁸ × 3² × 7 × 421

Starting at 6,789,888, the Collatz iteration reaches 1 after 129 steps. The first transition is 3394944; the starting value is even with 108 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 7 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 22,426,768

Proper Divisor Sum 15,636,880

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #6789793 ← → #6789901

Radix Representation

Decimal	6789888
Binary	11001111001101100000000 (23 bits)
Octal	0o31715400
Hexadecimal	0x679B00

Divisor Catalog (60 of 108)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 421 448 504 576 672 768 842 896 1,008 1,152 1,263 1,344 1,684 1,792 2,016 2,304 2,526 2,688 2,947 3,368 3,789 4,032 5,052

Collatz Trajectory (129 steps to reach 1)

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

6,789,888 3,394,944 1,697,472 848,736 424,368 212,184 106,092 53,046 26,523 79,570 39,785 119,356 59,678 29,839 89,518 44,759 134,278 67,139 201,418 100,709 302,128 151,064 75,532 37,766 18,883 56,650 28,325 84,976 42,488 21,244 10,622 5,311 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181

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