2³ × 3 × 5² × 11 × 67

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,517,760

Proper Divisor Sum 1,075,560

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #442193 ← → #442201

Radix Representation

Decimal	442200
Binary	1101011111101011000 (19 bits)
Octal	0o1537530
Hexadecimal	0x6BF58

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 67 75 88 100 110 120 132 134 150 165 200 201 220 264 268 275 300 330 335 402 440 536 550 600 660 670 737 804 825 1,005 1,100 1,320 1,340 1,474 1,608 1,650 1,675

Collatz Trajectory (262 steps to reach 1)

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

442,200 221,100 110,550 55,275 165,826 82,913 248,740 124,370 62,185 186,556 93,278 46,639 139,918 69,959 209,878 104,939 314,818 157,409 472,228 236,114 118,057 354,172 177,086 88,543 265,630 132,815 398,446 199,223 597,670 298,835 896,506 448,253 1,344,760 672,380 336,190 168,095 504,286 252,143 756,430 378,215 1,134,646 567,323 1,701,970 850,985 2,552,956 1,276,478 638,239 1,914,718 957,359 2,872,078 1,436,039 4,308,118 2,154,059 6,462,178 3,231,089 9,693,268 4,846,634 2,423,317 7,269,952 3,634,976

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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