λ
Prime Ledger

9,586,236

22 × 3 × 11 × 72623
Abundant Even Composite

9,586,236 has the prime decomposition 2^2 × 3 × 11 × 72623. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 72623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,401,664
Proper Divisor Sum 14,815,428
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9586231 ← → #9586259

Radix Representation

Decimal 9586236
Binary 100100100100011000111100 (24 bits)
Octal 0o44443074
Hexadecimal 0x92463C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 72,623 145,246 217,869 290,492 435,738 798,853 871,476 1,597,706 2,396,559 3,195,412 4,793,118 9,586,236

Collatz Trajectory (101 steps to reach 1)

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

9,586,236 4,793,118 2,396,559 7,189,678 3,594,839 10,784,518 5,392,259 16,176,778 8,088,389 24,265,168 12,132,584 6,066,292 3,033,146 1,516,573 4,549,720 2,274,860 1,137,430 568,715 1,706,146 853,073 2,559,220 1,279,610 639,805 1,919,416 959,708 479,854 239,927 719,782 359,891 1,079,674 539,837 1,619,512 809,756 404,878 202,439 607,318 303,659 910,978 455,489 1,366,468 683,234 341,617 1,024,852 512,426 256,213 768,640 384,320 192,160 96,080 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690

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