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Ratio Atlas
Atlas › Integer Profiles › Node 216,072
216,072
23 × 32 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 585,390
Proper Divisor Sum 369,318
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #216071 ← → #216091

Radix Representation

Decimal 216072
Binary 110100110000001000 (18 bits)
Octal 0o646010
Hexadecimal 0x34C08

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 3,001 6,002 9,003 12,004 18,006 24,008 27,009 36,012 54,018 72,024 108,036 216,072

Collatz Trajectory (80 steps to reach 1)

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

216,072 108,036 54,018 27,009 81,028 40,514 20,257 60,772 30,386 15,193 45,580 22,790 11,395 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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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