855,584

2⁵ × 26737

855,584 factors as 2^5 × 26737. Its 12 positive divisors give a proper-divisor sum of 828,910, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^5 × 26737

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,684,494

Proper Divisor Sum 828,910

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #855581 ← → #855601

Radix Representation

Decimal	855584
Binary	11010000111000100000 (20 bits)
Octal	0o3207040
Hexadecimal	0xD0E20

Divisor Catalog (12)

1 2 4 8 16 32 26,737 53,474 106,948 213,896 427,792 855,584

Collatz Trajectory (144 steps to reach 1)

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

855,584 427,792 213,896 106,948 53,474 26,737 80,212 40,106 20,053 60,160 30,080 15,040 7,520 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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