6,405,662

2 × 37 × 107 × 809

Starting at 6,405,662, the Collatz iteration reaches 1 after 240 steps. The first transition is 3202831; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 107 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,972,720

Proper Divisor Sum 3,567,058

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6405653 ← → #6405701

Radix Representation

Decimal	6405662
Binary	11000011011111000011110 (23 bits)
Octal	0o30337036
Hexadecimal	0x61BE1E

Divisor Catalog (16)

1 2 37 74 107 214 809 1,618 3,959 7,918 29,933 59,866 86,563 173,126 3,202,831 6,405,662

Collatz Trajectory (240 steps to reach 1)

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

6,405,662 3,202,831 9,608,494 4,804,247 14,412,742 7,206,371 21,619,114 10,809,557 32,428,672 16,214,336 8,107,168 4,053,584 2,026,792 1,013,396 506,698 253,349 760,048 380,024 190,012 95,006 47,503 142,510 71,255 213,766 106,883 320,650 160,325 480,976 240,488 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642

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