2⁶ × 3 × 5 × 29

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 91,440

Proper Divisor Sum 63,600

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #27827 ← → #27847

Radix Representation

Decimal	27840
Binary	110110011000000 (15 bits)
Octal	0o66300
Hexadecimal	0x6CC0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1,160 1,392 1,740 1,856 2,320 2,784 3,480 4,640 5,568 6,960 9,280 13,920 27,840

Collatz Trajectory (33 steps to reach 1)

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

27,840 13,920 6,960 3,480 1,740 870 435 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 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 #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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