2⁷ × 3² × 7 × 11

Prime Factor Structure

Factorization String 2^7 × 3^2 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 318,240

Proper Divisor Sum 229,536

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #88681 ← → #88721

Radix Representation

Decimal	88704
Binary	10101101010000000 (17 bits)
Octal	0o255200
Hexadecimal	0x15A80

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 126 128 132 144 154 168 176 192 198 224 231 252 264 288 308 336 352 384 396 448 462 504 528 576 616 672

Collatz Trajectory (40 steps to reach 1)

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

88,704 44,352 22,176 11,088 5,544 2,772 1,386 693 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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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