λ
Ratio Atlas
Atlas › Integer Profiles › Node 466,200
466,200
23 × 32 × 52 × 7 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 7 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,837,680
Proper Divisor Sum 1,371,480
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #466183 ← → #466201

Radix Representation

Decimal 466200
Binary 1110001110100011000 (19 bits)
Octal 0o1616430
Hexadecimal 0x71D18

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 37 40 42 45 50 56 60 63 70 72 74 75 84 90 100 105 111 120 126 140 148 150 168 175 180 185 200 210 222 225 252 259 280 296 300 315 333 350

Collatz Trajectory (125 steps to reach 1)

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

466,200 233,100 116,550 58,275 174,826 87,413 262,240 131,120 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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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