2 × 3² × 5 × 7 × 41

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 78,624

Proper Divisor Sum 52,794

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #25819 ← → #25841

Radix Representation

Decimal	25830
Binary	110010011100110 (15 bits)
Octal	0o62346
Hexadecimal	0x64E6

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1,230 1,435 1,722 1,845 2,583 2,870 3,690 4,305 5,166 8,610 12,915 25,830

Collatz Trajectory (170 steps to reach 1)

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

25,830 12,915 38,746 19,373 58,120 29,060 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

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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