6,745,508

2² × 7 × 11³ × 181

Starting at 6,745,508, the Collatz iteration reaches 1 after 178 steps. The first transition is 3372754; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11^3 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,921,088

Proper Divisor Sum 8,175,580

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6745499 ← → #6745511

Radix Representation

Decimal	6745508
Binary	11001101110110110100100 (23 bits)
Octal	0o31566644
Hexadecimal	0x66EDA4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 121 154 181 242 308 362 484 724 847 1,267 1,331 1,694 1,991 2,534 2,662 3,388 3,982 5,068 5,324 7,964 9,317 13,937 18,634 21,901 27,874 37,268 43,802 55,748 87,604 153,307 240,911 306,614 481,822 613,228 963,644 1,686,377 3,372,754 6,745,508

Collatz Trajectory (178 steps to reach 1)

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

6,745,508 3,372,754 1,686,377 5,059,132 2,529,566 1,264,783 3,794,350 1,897,175 5,691,526 2,845,763 8,537,290 4,268,645 12,805,936 6,402,968 3,201,484 1,600,742 800,371 2,401,114 1,200,557 3,601,672 1,800,836 900,418 450,209 1,350,628 675,314 337,657 1,012,972 506,486 253,243 759,730 379,865 1,139,596 569,798 284,899 854,698 427,349 1,282,048 641,024 320,512 160,256 80,128 40,064 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199

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