2⁶ × 3³ × 7²

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 289,560

Proper Divisor Sum 204,888

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84659 ← → #84673

Radix Representation

Decimal	84672
Binary	10100101011000000 (17 bits)
Octal	0o245300
Hexadecimal	0x14AC0

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 378 392 432 441 448 504 576 588 672 756 784 864 882 1,008 1,176 1,323

Collatz Trajectory (58 steps to reach 1)

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

84,672 42,336 21,168 10,584 5,292 2,646 1,323 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 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 #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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