9,231,664

2⁴ × 13 × 44383

9,231,664 factors as 2^4 × 13 × 44383. Its 20 positive divisors give a proper-divisor sum of 10,030,992, so this integer is abundant. The Collatz stopping time is 393 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 44383

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,262,656

Proper Divisor Sum 10,030,992

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9231661 ← → #9231689

Radix Representation

Decimal	9231664
Binary	100011001101110100110000 (24 bits)
Octal	0o43156460
Hexadecimal	0x8CDD30

Divisor Catalog (20)

Collatz Trajectory (393 steps to reach 1)

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

9,231,664 4,615,832 2,307,916 1,153,958 576,979 1,730,938 865,469 2,596,408 1,298,204 649,102 324,551 973,654 486,827 1,460,482 730,241 2,190,724 1,095,362 547,681 1,643,044 821,522 410,761 1,232,284 616,142 308,071 924,214 462,107 1,386,322 693,161 2,079,484 1,039,742 519,871 1,559,614 779,807 2,339,422 1,169,711 3,509,134 1,754,567 5,263,702 2,631,851 7,895,554 3,947,777 11,843,332 5,921,666 2,960,833 8,882,500 4,441,250 2,220,625 6,661,876 3,330,938 1,665,469 4,996,408 2,498,204 1,249,102 624,551 1,873,654 936,827 2,810,482 1,405,241 4,215,724 2,107,862

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