2³ × 3⁴ × 5 × 41

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 457,380

Proper Divisor Sum 324,540

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #132833 ← → #132851

Radix Representation

Decimal	132840
Binary	100000011011101000 (18 bits)
Octal	0o403350
Hexadecimal	0x206E8

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1,080 1,107 1,230 1,476 1,620 1,640 1,845 2,214 2,460

Collatz Trajectory (100 steps to reach 1)

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

132,840 66,420 33,210 16,605 49,816 24,908 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062

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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