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Ratio Atlas
Atlas › Integer Profiles › Node 72,036
72,036
22 × 33 × 23 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 201,600
Proper Divisor Sum 129,564
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #72031 ← → #72043

Radix Representation

Decimal 72036
Binary 10001100101100100 (17 bits)
Octal 0o214544
Hexadecimal 0x11964

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 348 414 522 621 667 783 828 1,044 1,242 1,334 1,566 2,001 2,484 2,668 3,132 4,002 6,003 8,004 12,006 18,009 24,012 36,018 72,036

Collatz Trajectory (81 steps to reach 1)

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

72,036 36,018 18,009 54,028 27,014 13,507 40,522 20,261 60,784 30,392 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 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

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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