6,711,668

2² × 17 × 89 × 1109

Starting at 6,711,668, the Collatz iteration reaches 1 after 116 steps. The first transition is 3355834; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 89 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,587,400

Proper Divisor Sum 5,875,732

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6711667 ← → #6711671

Radix Representation

Decimal	6711668
Binary	11001100110100101110100 (23 bits)
Octal	0o31464564
Hexadecimal	0x666974

Divisor Catalog (24)

1 2 4 17 34 68 89 178 356 1,109 1,513 2,218 3,026 4,436 6,052 18,853 37,706 75,412 98,701 197,402 394,804 1,677,917 3,355,834 6,711,668

Collatz Trajectory (116 steps to reach 1)

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

6,711,668 3,355,834 1,677,917 5,033,752 2,516,876 1,258,438 629,219 1,887,658 943,829 2,831,488 1,415,744 707,872 353,936 176,968 88,484 44,242 22,121 66,364 33,182 16,591 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472

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