6,644,888

2³ × 97 × 8563

Starting at 6,644,888, the Collatz iteration reaches 1 after 103 steps. The first transition is 3322444; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 97 × 8563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,589,080

Proper Divisor Sum 5,944,192

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6644887 ← → #6644903

Radix Representation

Decimal	6644888
Binary	11001010110010010011000 (23 bits)
Octal	0o31262230
Hexadecimal	0x656498

Divisor Catalog (16)

1 2 4 8 97 194 388 776 8,563 17,126 34,252 68,504 830,611 1,661,222 3,322,444 6,644,888

Collatz Trajectory (103 steps to reach 1)

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

6,644,888 3,322,444 1,661,222 830,611 2,491,834 1,245,917 3,737,752 1,868,876 934,438 467,219 1,401,658 700,829 2,102,488 1,051,244 525,622 262,811 788,434 394,217 1,182,652 591,326 295,663 886,990 443,495 1,330,486 665,243 1,995,730 997,865 2,993,596 1,496,798 748,399 2,245,198 1,122,599 3,367,798 1,683,899 5,051,698 2,525,849 7,577,548 3,788,774 1,894,387 5,683,162 2,841,581 8,524,744 4,262,372 2,131,186 1,065,593 3,196,780 1,598,390 799,195 2,397,586 1,198,793 3,596,380 1,798,190 899,095 2,697,286 1,348,643 4,045,930 2,022,965 6,068,896 3,034,448 1,517,224

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