2⁴ × 3 × 5² × 23

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 92,256

Proper Divisor Sum 64,656

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #27583 ← → #27611

Radix Representation

Decimal	27600
Binary	110101111010000 (15 bits)
Octal	0o65720
Hexadecimal	0x6BD0

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1,104 1,150 1,200 1,380 1,725 1,840 2,300 2,760 3,450 4,600 5,520 6,900 9,200 13,800 27,600

Collatz Trajectory (46 steps to reach 1)

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

27,600 13,800 6,900 3,450 1,725 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 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 #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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