6,666,608

2⁴ × 13 × 32051

Starting at 6,666,608, the Collatz iteration reaches 1 after 139 steps. The first transition is 3333304; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 32051

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,910,568

Proper Divisor Sum 7,243,960

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6666599 ← → #6666613

Radix Representation

Decimal	6666608
Binary	11001011011100101110000 (23 bits)
Octal	0o31334560
Hexadecimal	0x65B970

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 32,051 64,102 128,204 256,408 416,663 512,816 833,326 1,666,652 3,333,304 6,666,608

Collatz Trajectory (139 steps to reach 1)

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

6,666,608 3,333,304 1,666,652 833,326 416,663 1,249,990 624,995 1,874,986 937,493 2,812,480 1,406,240 703,120 351,560 175,780 87,890 43,945 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788 70,394 35,197 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049

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