λ
Sequence Observatory

6,563,565

33 × 5 × 48619
Deficient Odd Composite

Starting at 6,563,565, the Collatz iteration reaches 1 after 196 steps. The first transition is 19690696; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 48619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,668,800
Proper Divisor Sum 5,105,235
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6563561 ← → #6563587

Radix Representation

Decimal 6563565
Binary 11001000010011011101101 (23 bits)
Octal 0o31023355
Hexadecimal 0x6426ED

Divisor Catalog (16)

1 3 5 9 15 27 45 135 48,619 145,857 243,095 437,571 729,285 1,312,713 2,187,855 6,563,565

Collatz Trajectory (196 steps to reach 1)

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

6,563,565 19,690,696 9,845,348 4,922,674 2,461,337 7,384,012 3,692,006 1,846,003 5,538,010 2,769,005 8,307,016 4,153,508 2,076,754 1,038,377 3,115,132 1,557,566 778,783 2,336,350 1,168,175 3,504,526 1,752,263 5,256,790 2,628,395 7,885,186 3,942,593 11,827,780 5,913,890 2,956,945 8,870,836 4,435,418 2,217,709 6,653,128 3,326,564 1,663,282 831,641 2,494,924 1,247,462 623,731 1,871,194 935,597 2,806,792 1,403,396 701,698 350,849 1,052,548 526,274 263,137 789,412 394,706 197,353 592,060 296,030 148,015 444,046 222,023 666,070 333,035 999,106 499,553 1,498,660

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