853,677

3² × 11 × 8623

853,677 factors as 3^2 × 11 × 8623. Its 12 positive divisors give a proper-divisor sum of 491,667, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 8623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,345,344

Proper Divisor Sum 491,667

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #853669 ← → #853687

Radix Representation

Decimal	853677
Binary	11010000011010101101 (20 bits)
Octal	0o3203255
Hexadecimal	0xD06AD

Divisor Catalog (12)

1 3 9 11 33 99 8,623 25,869 77,607 94,853 284,559 853,677

Collatz Trajectory (126 steps to reach 1)

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

853,677 2,561,032 1,280,516 640,258 320,129 960,388 480,194 240,097 720,292 360,146 180,073 540,220 270,110 135,055 405,166 202,583 607,750 303,875 911,626 455,813 1,367,440 683,720 341,860 170,930 85,465 256,396 128,198 64,099 192,298 96,149 288,448 144,224 72,112 36,056 18,028 9,014 4,507 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417

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