6,676,189

13 × 17² × 1777

Starting at 6,676,189, the Collatz iteration reaches 1 after 116 steps. The first transition is 20028568; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13 × 17^2 × 1777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,641,844

Proper Divisor Sum 965,655

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6676171 ← → #6676199

Radix Representation

Decimal	6676189
Binary	11001011101111011011101 (23 bits)
Octal	0o31357335
Hexadecimal	0x65DEDD

Divisor Catalog (12)

1 13 17 221 289 1,777 3,757 23,101 30,209 392,717 513,553 6,676,189

Collatz Trajectory (116 steps to reach 1)

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

6,676,189 20,028,568 10,014,284 5,007,142 2,503,571 7,510,714 3,755,357 11,266,072 5,633,036 2,816,518 1,408,259 4,224,778 2,112,389 6,337,168 3,168,584 1,584,292 792,146 396,073 1,188,220 594,110 297,055 891,166 445,583 1,336,750 668,375 2,005,126 1,002,563 3,007,690 1,503,845 4,511,536 2,255,768 1,127,884 563,942 281,971 845,914 422,957 1,268,872 634,436 317,218 158,609 475,828 237,914 118,957 356,872 178,436 89,218 44,609 133,828 66,914 33,457 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058

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