2³ × 3⁴ × 5² × 11

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 675,180

Proper Divisor Sum 496,980

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #178187 ← → #178207

Radix Representation

Decimal	178200
Binary	101011100000011000 (18 bits)
Octal	0o534030
Hexadecimal	0x2B818

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 33 36 40 44 45 50 54 55 60 66 72 75 81 88 90 99 100 108 110 120 132 135 150 162 165 180 198 200 216 220 225 264 270 275 297 300 324 330 360 396 405

Collatz Trajectory (95 steps to reach 1)

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

178,200 89,100 44,550 22,275 66,826 33,413 100,240 50,120 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790

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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