9,605,624

2³ × 7 × 171529

9,605,624 factors as 2^3 × 7 × 171529. Its 16 positive divisors give a proper-divisor sum of 10,977,976, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 171529

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,583,600

Proper Divisor Sum 10,977,976

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9605611 ← → #9605627

Radix Representation

Decimal	9605624
Binary	100100101001000111111000 (24 bits)
Octal	0o44510770
Hexadecimal	0x9291F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 171,529 343,058 686,116 1,200,703 1,372,232 2,401,406 4,802,812 9,605,624

Collatz Trajectory (119 steps to reach 1)

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

9,605,624 4,802,812 2,401,406 1,200,703 3,602,110 1,801,055 5,403,166 2,701,583 8,104,750 4,052,375 12,157,126 6,078,563 18,235,690 9,117,845 27,353,536 13,676,768 6,838,384 3,419,192 1,709,596 854,798 427,399 1,282,198 641,099 1,923,298 961,649 2,884,948 1,442,474 721,237 2,163,712 1,081,856 540,928 270,464 135,232 67,616 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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