2⁴ × 3⁵ × 7

Prime Factor Structure

Factorization String 2^4 × 3^5 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 90,272

Proper Divisor Sum 63,056

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27211 ← → #27239

Radix Representation

Decimal	27216
Binary	110101001010000 (15 bits)
Octal	0o65120
Hexadecimal	0x6A50

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1,008 1,134 1,296 1,512 1,701 1,944 2,268 3,024 3,402 3,888 4,536 6,804 9,072 13,608 27,216

Collatz Trajectory (64 steps to reach 1)

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

27,216 13,608 6,804 3,402 1,701 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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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