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Ratio Atlas
Atlas › Integer Profiles › Node 54,054
54,054
2 × 33 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 161,280
Proper Divisor Sum 107,226
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #54049 ← → #54059

Radix Representation

Decimal 54054
Binary 1101001100100110 (16 bits)
Octal 0o151446
Hexadecimal 0xD326

Divisor Catalog (60 of 64)

1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1,001 1,287 1,386 1,638 2,002 2,079 2,457 2,574 3,003 3,861 4,158 4,914 6,006 7,722

Collatz Trajectory (39 steps to reach 1)

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

54,054 27,027 81,082 40,541 121,624 60,812 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 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 #6,449,649 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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