2⁶ × 3² × 5 × 7

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 79,248

Proper Divisor Sum 59,088

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #20149 ← → #20161

Radix Representation

Decimal	20160
Binary	100111011000000 (15 bits)
Octal	0o47300
Hexadecimal	0x4EC0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 192 210 224 240 252 280 288 315 320 336 360 420 448 480

Collatz Trajectory (43 steps to reach 1)

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

20,160 10,080 5,040 2,520 1,260 630 315 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 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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