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Ratio Atlas
Atlas › Integer Profiles › Node 329,616
329,616
24 × 33 × 7 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,091,200
Proper Divisor Sum 761,584
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #329603 ← → #329617

Radix Representation

Decimal 329616
Binary 1010000011110010000 (19 bits)
Octal 0o1203620
Hexadecimal 0x50790

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 109 112 126 144 168 189 216 218 252 327 336 378 432 436 504 654 756 763 872 981 1,008 1,308 1,512 1,526 1,744 1,962 2,289 2,616 2,943 3,024 3,052 3,924 4,578 5,232 5,886

Collatz Trajectory (65 steps to reach 1)

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

329,616 164,808 82,404 41,202 20,601 61,804 30,902 15,451 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 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 #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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