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Ratio Atlas
Atlas › Integer Profiles › Node 769,824
769,824
25 × 37 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^7 × 11
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,479,680
Proper Divisor Sum 1,709,856
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #769807 ← → #769837

Radix Representation

Decimal 769824
Binary 10111011111100100000 (20 bits)
Octal 0o2737440
Hexadecimal 0xBBF20

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 729 792 864 891 972 1,056 1,188 1,296 1,458 1,584 1,782 1,944 2,187 2,376 2,592

Collatz Trajectory (48 steps to reach 1)

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

769,824 384,912 192,456 96,228 48,114 24,057 72,172 36,086 18,043 54,130 27,065 81,196 40,598 20,299 60,898 30,449 91,348 45,674 22,837 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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