6,684,445

5 × 479 × 2791

Starting at 6,684,445, the Collatz iteration reaches 1 after 116 steps. The first transition is 20053336; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 479 × 2791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,040,960

Proper Divisor Sum 1,356,515

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6684443 ← → #6684449

Radix Representation

Decimal	6684445
Binary	11001011111111100011101 (23 bits)
Octal	0o31377435
Hexadecimal	0x65FF1D

Divisor Catalog (8)

1 5 479 2,395 2,791 13,955 1,336,889 6,684,445

Collatz Trajectory (116 steps to reach 1)

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

6,684,445 20,053,336 10,026,668 5,013,334 2,506,667 7,520,002 3,760,001 11,280,004 5,640,002 2,820,001 8,460,004 4,230,002 2,115,001 6,345,004 3,172,502 1,586,251 4,758,754 2,379,377 7,138,132 3,569,066 1,784,533 5,353,600 2,676,800 1,338,400 669,200 334,600 167,300 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067

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