λ
Sequence Observatory

6,191,106

2 × 3 × 59 × 17489
Abundant Even Composite

Starting at 6,191,106, the Collatz iteration reaches 1 after 196 steps. The first transition is 3095553; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 17489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,592,800
Proper Divisor Sum 6,401,694
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6191083 ← → #6191137

Radix Representation

Decimal 6191106
Binary 10111100111100000000010 (23 bits)
Octal 0o27474002
Hexadecimal 0x5E7802

Divisor Catalog (16)

1 2 3 6 59 118 177 354 17,489 34,978 52,467 104,934 1,031,851 2,063,702 3,095,553 6,191,106

Collatz Trajectory (196 steps to reach 1)

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

6,191,106 3,095,553 9,286,660 4,643,330 2,321,665 6,964,996 3,482,498 1,741,249 5,223,748 2,611,874 1,305,937 3,917,812 1,958,906 979,453 2,938,360 1,469,180 734,590 367,295 1,101,886 550,943 1,652,830 826,415 2,479,246 1,239,623 3,718,870 1,859,435 5,578,306 2,789,153 8,367,460 4,183,730 2,091,865 6,275,596 3,137,798 1,568,899 4,706,698 2,353,349 7,060,048 3,530,024 1,765,012 882,506 441,253 1,323,760 661,880 330,940 165,470 82,735 248,206 124,103 372,310 186,155 558,466 279,233 837,700 418,850 209,425 628,276 314,138 157,069 471,208 235,604

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