λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,512
28,512
25 × 34 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^4 × 11
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 91,476
Proper Divisor Sum 62,964
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #28499 ← → #28513

Radix Representation

Decimal 28512
Binary 110111101100000 (15 bits)
Octal 0o67540
Hexadecimal 0x6F60

Divisor Catalog (60)

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 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1,056 1,188 1,296 1,584 1,782 2,376 2,592 3,168 3,564 4,752 7,128 9,504 14,256 28,512

Collatz Trajectory (51 steps to reach 1)

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

28,512 14,256 7,128 3,564 1,782 891 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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