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Ratio Atlas
Atlas › Integer Profiles › Node 259,200
259,200
27 × 34 × 52
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^4 × 5^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 956,505
Proper Divisor Sum 697,305
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #259183 ← → #259201

Radix Representation

Decimal 259200
Binary 111111010010000000 (18 bits)
Octal 0o772200
Hexadecimal 0x3F480

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 270 288 300 320 324 360 384 400 405 432 450 480

Collatz Trajectory (163 steps to reach 1)

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

259,200 129,600 64,800 32,400 16,200 8,100 4,050 2,025 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

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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