6,825,967

41 × 166487

Starting at 6,825,967, the Collatz iteration reaches 1 after 209 steps. The first transition is 20477902; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 166487

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,992,496

Proper Divisor Sum 166,529

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6825953 ← → #6825971

Radix Representation

Decimal	6825967
Binary	11010000010011111101111 (23 bits)
Octal	0o32023757
Hexadecimal	0x6827EF

Divisor Catalog (4)

1 41 166,487 6,825,967

Collatz Trajectory (209 steps to reach 1)

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

6,825,967 20,477,902 10,238,951 30,716,854 15,358,427 46,075,282 23,037,641 69,112,924 34,556,462 17,278,231 51,834,694 25,917,347 77,752,042 38,876,021 116,628,064 58,314,032 29,157,016 14,578,508 7,289,254 3,644,627 10,933,882 5,466,941 16,400,824 8,200,412 4,100,206 2,050,103 6,150,310 3,075,155 9,225,466 4,612,733 13,838,200 6,919,100 3,459,550 1,729,775 5,189,326 2,594,663 7,783,990 3,891,995 11,675,986 5,837,993 17,513,980 8,756,990 4,378,495 13,135,486 6,567,743 19,703,230 9,851,615 29,554,846 14,777,423 44,332,270 22,166,135 66,498,406 33,249,203 99,747,610 49,873,805 149,621,416 74,810,708 37,405,354 18,702,677 56,108,032

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