6,517,682

2 × 43 × 75787

Starting at 6,517,682, the Collatz iteration reaches 1 after 165 steps. The first transition is 3258841; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 75787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,004,016

Proper Divisor Sum 3,486,334

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6517673 ← → #6517699

Radix Representation

Decimal	6517682
Binary	11000110111001110110010 (23 bits)
Octal	0o30671662
Hexadecimal	0x6373B2

Divisor Catalog (8)

1 2 43 86 75,787 151,574 3,258,841 6,517,682

Collatz Trajectory (165 steps to reach 1)

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

6,517,682 3,258,841 9,776,524 4,888,262 2,444,131 7,332,394 3,666,197 10,998,592 5,499,296 2,749,648 1,374,824 687,412 343,706 171,853 515,560 257,780 128,890 64,445 193,336 96,668 48,334 24,167 72,502 36,251 108,754 54,377 163,132 81,566 40,783 122,350 61,175 183,526 91,763 275,290 137,645 412,936 206,468 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344

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