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Ratio Atlas
Atlas › Integer Profiles › Node 72,072
72,072
23 × 32 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 262,080
Proper Divisor Sum 190,008
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #72053 ← → #72073

Radix Representation

Decimal 72072
Binary 10001100110001000 (17 bits)
Octal 0o214610
Hexadecimal 0x11988

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 28 33 36 39 42 44 52 56 63 66 72 77 78 84 88 91 99 104 117 126 132 143 154 156 168 182 198 231 234 252 264 273 286 308 312 364 396 429 462 468 504 546 572

Collatz Trajectory (42 steps to reach 1)

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

72,072 36,036 18,018 9,009 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 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 #6,573,969 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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