λ
Sequence Observatory

9,568,572

22 × 3 × 13 × 83 × 739
Abundant Even Composite

Starting at 9,568,572, the Collatz iteration reaches 1 after 269 steps. The first transition is 4784286; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 83 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,366,720
Proper Divisor Sum 14,798,148
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9568549 ← → #9568577

Radix Representation

Decimal 9568572
Binary 100100100000000100111100 (24 bits)
Octal 0o44400474
Hexadecimal 0x92013C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 739 996 1,079 1,478 2,158 2,217 2,956 3,237 4,316 4,434 6,474 8,868 9,607 12,948 19,214 28,821 38,428 57,642 61,337 115,284 122,674 184,011 245,348 368,022 736,044 797,381 1,594,762 2,392,143 3,189,524 4,784,286 9,568,572

Collatz Trajectory (269 steps to reach 1)

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

9,568,572 4,784,286 2,392,143 7,176,430 3,588,215 10,764,646 5,382,323 16,146,970 8,073,485 24,220,456 12,110,228 6,055,114 3,027,557 9,082,672 4,541,336 2,270,668 1,135,334 567,667 1,703,002 851,501 2,554,504 1,277,252 638,626 319,313 957,940 478,970 239,485 718,456 359,228 179,614 89,807 269,422 134,711 404,134 202,067 606,202 303,101 909,304 454,652 227,326 113,663 340,990 170,495 511,486 255,743 767,230 383,615 1,150,846 575,423 1,726,270 863,135 2,589,406 1,294,703 3,884,110 1,942,055 5,826,166 2,913,083 8,739,250 4,369,625 13,108,876

More profiles

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