2⁵ × 3 × 5² × 23

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 187,488

Proper Divisor Sum 132,288

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #55171 ← → #55201

Radix Representation

Decimal	55200
Binary	1101011110100000 (16 bits)
Octal	0o153640
Hexadecimal	0xD7A0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1,104 1,150 1,200 1,380 1,725 1,840 2,208 2,300 2,400

Collatz Trajectory (47 steps to reach 1)

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

55,200 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 #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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