6,218,681

7 × 19 × 46757

Starting at 6,218,681, the Collatz iteration reaches 1 after 289 steps. The first transition is 18656044; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 46757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,481,280

Proper Divisor Sum 1,262,599

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6218669 ← → #6218683

Radix Representation

Decimal	6218681
Binary	10111101110001110111001 (23 bits)
Octal	0o27561671
Hexadecimal	0x5EE3B9

Divisor Catalog (8)

1 7 19 133 46,757 327,299 888,383 6,218,681

Collatz Trajectory (289 steps to reach 1)

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

6,218,681 18,656,044 9,328,022 4,664,011 13,992,034 6,996,017 20,988,052 10,494,026 5,247,013 15,741,040 7,870,520 3,935,260 1,967,630 983,815 2,951,446 1,475,723 4,427,170 2,213,585 6,640,756 3,320,378 1,660,189 4,980,568 2,490,284 1,245,142 622,571 1,867,714 933,857 2,801,572 1,400,786 700,393 2,101,180 1,050,590 525,295 1,575,886 787,943 2,363,830 1,181,915 3,545,746 1,772,873 5,318,620 2,659,310 1,329,655 3,988,966 1,994,483 5,983,450 2,991,725 8,975,176 4,487,588 2,243,794 1,121,897 3,365,692 1,682,846 841,423 2,524,270 1,262,135 3,786,406 1,893,203 5,679,610 2,839,805 8,519,416

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