2³ × 3² × 11 × 23 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 23 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,695,680

Proper Divisor Sum 1,839,528

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #856147 ← → #856153

Radix Representation

Decimal	856152
Binary	11010001000001011000 (20 bits)
Octal	0o3210130
Hexadecimal	0xD1058

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 47 66 69 72 88 92 94 99 132 138 141 184 188 198 207 253 264 276 282 376 396 414 423 506 517 552 564 759 792 828 846 1,012 1,034 1,081 1,128 1,518 1,551 1,656 1,692 2,024 2,068 2,162 2,277

Collatz Trajectory (100 steps to reach 1)

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

856,152 428,076 214,038 107,019 321,058 160,529 481,588 240,794 120,397 361,192 180,596 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 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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