6,668,150

2 × 5² × 193 × 691

Starting at 6,668,150, the Collatz iteration reaches 1 after 191 steps. The first transition is 3334075; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 193 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,485,064

Proper Divisor Sum 5,816,914

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6668149 ← → #6668161

Radix Representation

Decimal	6668150
Binary	11001011011111101110110 (23 bits)
Octal	0o31337566
Hexadecimal	0x65BF76

Divisor Catalog (24)

1 2 5 10 25 50 193 386 691 965 1,382 1,930 3,455 4,825 6,910 9,650 17,275 34,550 133,363 266,726 666,815 1,333,630 3,334,075 6,668,150

Collatz Trajectory (191 steps to reach 1)

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

6,668,150 3,334,075 10,002,226 5,001,113 15,003,340 7,501,670 3,750,835 11,252,506 5,626,253 16,878,760 8,439,380 4,219,690 2,109,845 6,329,536 3,164,768 1,582,384 791,192 395,596 197,798 98,899 296,698 148,349 445,048 222,524 111,262 55,631 166,894 83,447 250,342 125,171 375,514 187,757 563,272 281,636 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295

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