λ
Sequence Observatory

6,682,309

17 × 393077
Deficient Odd Composite

Starting at 6,682,309, the Collatz iteration reaches 1 after 59 steps. The first transition is 20046928; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 393077
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,075,404
Proper Divisor Sum 393,095
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6682301 ← → #6682327

Radix Representation

Decimal 6682309
Binary 11001011111011011000101 (23 bits)
Octal 0o31373305
Hexadecimal 0x65F6C5

Divisor Catalog (4)

1 17 393,077 6,682,309

Collatz Trajectory (59 steps to reach 1)

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

6,682,309 20,046,928 10,023,464 5,011,732 2,505,866 1,252,933 3,758,800 1,879,400 939,700 469,850 234,925 704,776 352,388 176,194 88,097 264,292 132,146 66,073 198,220 99,110 49,555 148,666 74,333 223,000 111,500 55,750 27,875 83,626 41,813 125,440 62,720 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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