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Ratio Atlas
Atlas › Integer Profiles › Node 309,528
309,528
23 × 33 × 1433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 1433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 860,400
Proper Divisor Sum 550,872
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #309523 ← → #309539

Radix Representation

Decimal 309528
Binary 1001011100100011000 (19 bits)
Octal 0o1134430
Hexadecimal 0x4B918

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1,433 2,866 4,299 5,732 8,598 11,464 12,897 17,196 25,794 34,392 38,691 51,588 77,382 103,176 154,764 309,528

Collatz Trajectory (65 steps to reach 1)

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

309,528 154,764 77,382 38,691 116,074 58,037 174,112 87,056 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 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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