2² × 3 × 5² × 7 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 291,648

Proper Divisor Sum 205,548

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #86083 ← → #86111

Radix Representation

Decimal	86100
Binary	10101000001010100 (17 bits)
Octal	0o250124
Hexadecimal	0x15054

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1,025 1,050 1,148 1,230 1,435 1,722 2,050 2,100 2,460 2,870 3,075 3,444 4,100

Collatz Trajectory (120 steps to reach 1)

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

86,100 43,050 21,525 64,576 32,288 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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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