2⁴ × 3³ × 5² × 41

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,614,480

Proper Divisor Sum 1,171,680

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #442789 ← → #442807

Radix Representation

Decimal	442800
Binary	1101100000110110000 (19 bits)
Octal	0o1540660
Hexadecimal	0x6C1B0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 41 45 48 50 54 60 72 75 80 82 90 100 108 120 123 135 144 150 164 180 200 205 216 225 240 246 270 300 328 360 369 400 410 432 450 492 540 600 615 656

Collatz Trajectory (143 steps to reach 1)

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

442,800 221,400 110,700 55,350 27,675 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810

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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