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Ratio Atlas
Atlas › Integer Profiles › Node 515,200
515,200
27 × 52 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^2 × 7 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,517,760
Proper Divisor Sum 1,002,560
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #515191 ← → #515227

Radix Representation

Decimal 515200
Binary 1111101110010000000 (19 bits)
Octal 0o1756200
Hexadecimal 0x7DC80

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 280 320 322 350 368 400 448 460 560 575 640 644 700 736 800 805 896 920 1,120 1,150 1,288 1,400 1,472 1,600 1,610

Collatz Trajectory (76 steps to reach 1)

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

515,200 257,600 128,800 64,400 32,200 16,100 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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