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Ratio Atlas
Atlas › Integer Profiles › Node 584,064
584,064
27 × 33 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^3 × 13^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,866,600
Proper Divisor Sum 1,282,536
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #584063 ← → #584081

Radix Representation

Decimal 584064
Binary 10001110100110000000 (20 bits)
Octal 0o2164600
Hexadecimal 0x8E980

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 169 192 208 216 234 288 312 338 351 384 416 432 468 507 576 624 676 702 832 864 936 1,014 1,152 1,248 1,352 1,404 1,521 1,664 1,728 1,872

Collatz Trajectory (159 steps to reach 1)

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

584,064 292,032 146,016 73,008 36,504 18,252 9,126 4,563 13,690 6,845 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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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