2⁵ × 3² × 293

Prime Factor Structure

Factorization String 2^5 × 3^2 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 240,786

Proper Divisor Sum 156,402

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84377 ← → #84389

Radix Representation

Decimal	84384
Binary	10100100110100000 (17 bits)
Octal	0o244640
Hexadecimal	0x149A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1,172 1,758 2,344 2,637 3,516 4,688 5,274 7,032 9,376 10,548 14,064 21,096 28,128 42,192 84,384

Collatz Trajectory (58 steps to reach 1)

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

84,384 42,192 21,096 10,548 5,274 2,637 7,912 3,956 1,978 989 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 #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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