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Ratio Atlas
Atlas › Integer Profiles › Node 76,032
76,032
28 × 33 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3^3 × 11
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 245,280
Proper Divisor Sum 169,248
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #76031 ← → #76039

Radix Representation

Decimal 76032
Binary 10010100100000000 (17 bits)
Octal 0o224400
Hexadecimal 0x12900

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1,056 1,152 1,188 1,408 1,584 1,728 2,112 2,304 2,376 2,816 3,168

Collatz Trajectory (81 steps to reach 1)

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

76,032 38,016 19,008 9,504 4,752 2,376 1,188 594 297 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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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