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Ratio Atlas
Atlas › Integer Profiles › Node 265,200
265,200
24 × 3 × 52 × 13 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 13 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 968,688
Proper Divisor Sum 703,488
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #265193 ← → #265207

Radix Representation

Decimal 265200
Binary 1000000101111110000 (19 bits)
Octal 0o1005760
Hexadecimal 0x40BF0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 34 39 40 48 50 51 52 60 65 68 75 78 80 85 100 102 104 120 130 136 150 156 170 195 200 204 208 221 240 255 260 272 300 312 325 340 390 400 408 425 442 510

Collatz Trajectory (70 steps to reach 1)

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

265,200 132,600 66,300 33,150 16,575 49,726 24,863 74,590 37,295 111,886 55,943 167,830 83,915 251,746 125,873 377,620 188,810 94,405 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

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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