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Ratio Atlas
Atlas › Integer Profiles › Node 327,360
327,360
26 × 3 × 5 × 11 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 1,170,432
Proper Divisor Sum 843,072
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #327347 ← → #327401

Radix Representation

Decimal 327360
Binary 1001111111011000000 (19 bits)
Octal 0o1177300
Hexadecimal 0x4FEC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 62 64 66 80 88 93 96 110 120 124 132 155 160 165 176 186 192 220 240 248 264 310 320 330 341 352 372 440 465 480 496 528 620 660 682 704

Collatz Trajectory (65 steps to reach 1)

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

327,360 163,680 81,840 40,920 20,460 10,230 5,115 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

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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