2⁴ × 3 × 7³ × 13

Prime Factor Structure

Factorization String 2^4 × 3 × 7^3 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 694,400

Proper Divisor Sum 480,368

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #214031 ← → #214033

Radix Representation

Decimal	214032
Binary	110100010000010000 (18 bits)
Octal	0o642020
Hexadecimal	0x34410

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1,029 1,092 1,176 1,274 1,372 1,456 1,911 2,058 2,184 2,352 2,548 2,744 3,822

Collatz Trajectory (49 steps to reach 1)

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

214,032 107,016 53,508 26,754 13,377 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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