2⁶ × 3² × 5²

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2

Distinct Prime Factors 3

Square Status Yes (√14400 = 120)

Abundance Measure Abundant

Analytical Properties

Total Divisors 63

Divisor Sum (σ) 51,181

Proper Divisor Sum 36,781

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #14389 ← → #14401

Radix Representation

Decimal	14400
Binary	11100001000000 (14 bits)
Octal	0o34100
Hexadecimal	0x3840

Divisor Catalog (60 of 63)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1,200 1,440 1,600 1,800 2,400 2,880 3,600

Collatz Trajectory (58 steps to reach 1)

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

14,400 7,200 3,600 1,800 900 450 225 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 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 #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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