6,667,615

5 × 397 × 3359

Starting at 6,667,615, the Collatz iteration reaches 1 after 121 steps. The first transition is 20002846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 397 × 3359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,023,680

Proper Divisor Sum 1,356,065

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6667607 ← → #6667637

Radix Representation

Decimal	6667615
Binary	11001011011110101011111 (23 bits)
Octal	0o31336537
Hexadecimal	0x65BD5F

Divisor Catalog (8)

1 5 397 1,985 3,359 16,795 1,333,523 6,667,615

Collatz Trajectory (121 steps to reach 1)

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

6,667,615 20,002,846 10,001,423 30,004,270 15,002,135 45,006,406 22,503,203 67,509,610 33,754,805 101,264,416 50,632,208 25,316,104 12,658,052 6,329,026 3,164,513 9,493,540 4,746,770 2,373,385 7,120,156 3,560,078 1,780,039 5,340,118 2,670,059 8,010,178 4,005,089 12,015,268 6,007,634 3,003,817 9,011,452 4,505,726 2,252,863 6,758,590 3,379,295 10,137,886 5,068,943 15,206,830 7,603,415 22,810,246 11,405,123 34,215,370 17,107,685 51,323,056 25,661,528 12,830,764 6,415,382 3,207,691 9,623,074 4,811,537 14,434,612 7,217,306 3,608,653 10,825,960 5,412,980 2,706,490 1,353,245 4,059,736 2,029,868 1,014,934 507,467 1,522,402

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