2² × 3 × 43 × 53

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 66,528

Proper Divisor Sum 39,180

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #27337 ← → #27361

Radix Representation

Decimal	27348
Binary	110101011010100 (15 bits)
Octal	0o65324
Hexadecimal	0x6AD4

Divisor Catalog (24)

1 2 3 4 6 12 43 53 86 106 129 159 172 212 258 318 516 636 2,279 4,558 6,837 9,116 13,674 27,348

Collatz Trajectory (59 steps to reach 1)

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

27,348 13,674 6,837 20,512 10,256 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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