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Ratio Atlas
Atlas › Integer Profiles › Node 576,288
576,288
25 × 33 × 23 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 23 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,814,400
Proper Divisor Sum 1,238,112
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #576287 ← → #576293

Radix Representation

Decimal 576288
Binary 10001100101100100000 (20 bits)
Octal 0o2145440
Hexadecimal 0x8CB20

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 23 24 27 29 32 36 46 48 54 58 69 72 87 92 96 108 116 138 144 174 184 207 216 232 261 276 288 348 368 414 432 464 522 552 621 667 696 736 783 828 864 928 1,044 1,104 1,242 1,334 1,392 1,566 1,656 2,001

Collatz Trajectory (84 steps to reach 1)

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

576,288 288,144 144,072 72,036 36,018 18,009 54,028 27,014 13,507 40,522 20,261 60,784 30,392 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616

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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