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855,384

23 × 3 × 29 × 1229
Abundant Even Composite

855,384 factors as 2^3 × 3 × 29 × 1229. Its 32 positive divisors give a proper-divisor sum of 1,358,616, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 29 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,214,000
Proper Divisor Sum 1,358,616
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #855377 ← → #855391

Radix Representation

Decimal 855384
Binary 11010000110101011000 (20 bits)
Octal 0o3206530
Hexadecimal 0xD0D58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1,229 2,458 3,687 4,916 7,374 9,832 14,748 29,496 35,641 71,282 106,923 142,564 213,846 285,128 427,692 855,384

Collatz Trajectory (82 steps to reach 1)

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

855,384 427,692 213,846 106,923 320,770 160,385 481,156 240,578 120,289 360,868 180,434 90,217 270,652 135,326 67,663 202,990 101,495 304,486 152,243 456,730 228,365 685,096 342,548 171,274 85,637 256,912 128,456 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152

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