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Ratio Atlas
Atlas › Integer Profiles › Node 522,288
522,288
24 × 34 × 13 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 13 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 1,680,448
Proper Divisor Sum 1,158,160
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #522283 ← → #522289

Radix Representation

Decimal 522288
Binary 1111111100000110000 (19 bits)
Octal 0o1774060
Hexadecimal 0x7F830

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 81 93 104 108 117 124 144 156 162 186 208 216 234 248 279 312 324 351 372 403 432 468 496 558 624 648 702 744 806 837 936 1,053 1,116 1,209 1,296 1,404 1,488

Collatz Trajectory (71 steps to reach 1)

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

522,288 261,144 130,572 65,286 32,643 97,930 48,965 146,896 73,448 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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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