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Ratio Atlas
Atlas › Integer Profiles › Node 9,504
9,504
25 × 33 × 11
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,240
Proper Divisor Sum 20,736
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9497 ← → #9511

Radix Representation

Decimal 9504
Binary 10010100100000 (14 bits)
Octal 0o22440
Hexadecimal 0x2520

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1,056 1,188 1,584 2,376 3,168 4,752 9,504

Collatz Trajectory (78 steps to reach 1)

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

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 1,300 650 325 976 488 244 122 61

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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