2⁵ × 3 × 7 × 19 × 67

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 19 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,741,760

Proper Divisor Sum 1,886,304

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #855431 ← → #855461

Radix Representation

Decimal	855456
Binary	11010000110110100000 (20 bits)
Octal	0o3206640
Hexadecimal	0xD0DA0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 67 76 84 96 112 114 133 134 152 168 201 224 228 266 268 304 336 399 402 456 469 532 536 608 672 798 804 912 938 1,064 1,072 1,273 1,407 1,596 1,608 1,824 1,876 2,128 2,144 2,546

Collatz Trajectory (100 steps to reach 1)

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

855,456 427,728 213,864 106,932 53,466 26,733 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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