2³ × 3⁴ × 41

Prime Factor Structure

Factorization String 2^3 × 3^4 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 76,230

Proper Divisor Sum 49,662

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26561 ← → #26573

Radix Representation

Decimal	26568
Binary	110011111001000 (15 bits)
Octal	0o63710
Hexadecimal	0x67C8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1,107 1,476 2,214 2,952 3,321 4,428 6,642 8,856 13,284 26,568

Collatz Trajectory (108 steps to reach 1)

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

26,568 13,284 6,642 3,321 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169

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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