λ
Prime Ledger

9,768,474

2 × 32 × 542693
Abundant Even Composite

9,768,474 has the prime decomposition 2 × 3^2 × 542693. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 542693
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,165,066
Proper Divisor Sum 11,396,592
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9768469 ← → #9768487

Radix Representation

Decimal 9768474
Binary 100101010000111000011010 (24 bits)
Octal 0o45207032
Hexadecimal 0x950E1A

Divisor Catalog (12)

1 2 3 6 9 18 542,693 1,085,386 1,628,079 3,256,158 4,884,237 9,768,474

Collatz Trajectory (150 steps to reach 1)

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

9,768,474 4,884,237 14,652,712 7,326,356 3,663,178 1,831,589 5,494,768 2,747,384 1,373,692 686,846 343,423 1,030,270 515,135 1,545,406 772,703 2,318,110 1,159,055 3,477,166 1,738,583 5,215,750 2,607,875 7,823,626 3,911,813 11,735,440 5,867,720 2,933,860 1,466,930 733,465 2,200,396 1,100,198 550,099 1,650,298 825,149 2,475,448 1,237,724 618,862 309,431 928,294 464,147 1,392,442 696,221 2,088,664 1,044,332 522,166 261,083 783,250 391,625 1,174,876 587,438 293,719 881,158 440,579 1,321,738 660,869 1,982,608 991,304 495,652 247,826 123,913 371,740

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