2² × 3² × 5 × 13 × 31

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 244,608

Proper Divisor Sum 172,068

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #72533 ← → #72547

Radix Representation

Decimal	72540
Binary	10001101101011100 (17 bits)
Octal	0o215534
Hexadecimal	0x11B5C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1,116 1,170 1,209 1,395 1,612 1,860 2,015 2,340 2,418 2,790 3,627

Collatz Trajectory (50 steps to reach 1)

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

72,540 36,270 18,135 54,406 27,203 81,610 40,805 122,416 61,208 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 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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