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Ratio Atlas
Atlas › Integer Profiles › Node 329,256
329,256
23 × 32 × 17 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 947,700
Proper Divisor Sum 618,444
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #329243 ← → #329257

Radix Representation

Decimal 329256
Binary 1010000011000101000 (19 bits)
Octal 0o1203050
Hexadecimal 0x50628

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 269 306 408 538 612 807 1,076 1,224 1,614 2,152 2,421 3,228 4,573 4,842 6,456 9,146 9,684 13,719 18,292 19,368 27,438 36,584 41,157 54,876 82,314 109,752 164,628 329,256

Collatz Trajectory (65 steps to reach 1)

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

329,256 164,628 82,314 41,157 123,472 61,736 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 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 #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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