2⁶ × 3 × 5² × 37

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 598,424

Proper Divisor Sum 420,824

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #177589 ← → #177601

Radix Representation

Decimal	177600
Binary	101011010111000000 (18 bits)
Octal	0o532700
Hexadecimal	0x2B5C0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 148 150 160 185 192 200 222 240 296 300 320 370 400 444 480 555 592 600 740 800 888 925 960 1,110 1,184 1,200 1,480 1,600 1,776 1,850 2,220

Collatz Trajectory (72 steps to reach 1)

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

177,600 88,800 44,400 22,200 11,100 5,550 2,775 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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