2² × 3² × 5 × 7 × 67

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 297,024

Proper Divisor Sum 212,604

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #84407 ← → #84421

Radix Representation

Decimal	84420
Binary	10100100111000100 (17 bits)
Octal	0o244704
Hexadecimal	0x149C4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1,005 1,206 1,260 1,340 1,407 1,876 2,010 2,345 2,412 2,814 3,015 4,020 4,221 4,690

Collatz Trajectory (58 steps to reach 1)

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

84,420 42,210 21,105 63,316 31,658 15,829 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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