2² × 3³ × 5 × 7 × 19

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 268,800

Proper Divisor Sum 196,980

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #71809 ← → #71821

Radix Representation

Decimal	71820
Binary	10001100010001100 (17 bits)
Octal	0o214214
Hexadecimal	0x1188C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 27 28 30 35 36 38 42 45 54 57 60 63 70 76 84 90 95 105 108 114 126 133 135 140 171 180 189 190 210 228 252 266 270 285 315 342 378 380 399 420 513 532 540 570

Collatz Trajectory (50 steps to reach 1)

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

71,820 35,910 17,955 53,866 26,933 80,800 40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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