2³ × 3 × 5 × 13 × 17

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 90,720

Proper Divisor Sum 64,200

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #26513 ← → #26539

Radix Representation

Decimal	26520
Binary	110011110011000 (15 bits)
Octal	0o63630
Hexadecimal	0x6798

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1,020 1,105 1,326 1,560 1,768 2,040 2,210 2,652 3,315 4,420 5,304

Collatz Trajectory (77 steps to reach 1)

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

26,520 13,260 6,630 3,315 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

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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