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Ratio Atlas
Atlas › Integer Profiles › Node 72,144
72,144
24 × 33 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 208,320
Proper Divisor Sum 136,176
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #72139 ← → #72161

Radix Representation

Decimal 72144
Binary 10001100111010000 (17 bits)
Octal 0o214720
Hexadecimal 0x119D0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1,002 1,336 1,503 2,004 2,672 3,006 4,008 4,509 6,012 8,016 9,018 12,024 18,036 24,048 36,072 72,144

Collatz Trajectory (143 steps to reach 1)

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

72,144 36,072 18,036 9,018 4,509 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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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