6,685,784

2³ × 7 × 119389

Starting at 6,685,784, the Collatz iteration reaches 1 after 209 steps. The first transition is 3342892; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 119389

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,326,800

Proper Divisor Sum 7,641,016

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6685781 ← → #6685787

Radix Representation

Decimal	6685784
Binary	11001100000010001011000 (23 bits)
Octal	0o31402130
Hexadecimal	0x660458

Divisor Catalog (16)

1 2 4 7 8 14 28 56 119,389 238,778 477,556 835,723 955,112 1,671,446 3,342,892 6,685,784

Collatz Trajectory (209 steps to reach 1)

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

6,685,784 3,342,892 1,671,446 835,723 2,507,170 1,253,585 3,760,756 1,880,378 940,189 2,820,568 1,410,284 705,142 352,571 1,057,714 528,857 1,586,572 793,286 396,643 1,189,930 594,965 1,784,896 892,448 446,224 223,112 111,556 55,778 27,889 83,668 41,834 20,917 62,752 31,376 15,688 7,844 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443

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