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Ratio Atlas
Atlas › Integer Profiles › Node 548,800
548,800
26 × 52 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 1,574,800
Proper Divisor Sum 1,026,000
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #548791 ← → #548827

Radix Representation

Decimal 548800
Binary 10000101111111000000 (20 bits)
Octal 0o2057700
Hexadecimal 0x85FC0

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 343 350 392 400 448 490 560 686 700 784 800 980 1,120 1,225 1,372 1,400 1,568 1,600 1,715 1,960 2,240 2,450 2,744 2,800 3,136 3,430 3,920

Collatz Trajectory (133 steps to reach 1)

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

548,800 274,400 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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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