λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,200,320
3,200,320
26 × 5 × 73 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 73 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,781,544
Proper Divisor Sum 4,581,224
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #3200317 ← → #3200333

Radix Representation

Decimal 3200320
Binary 1100001101010101000000 (22 bits)
Octal 0o14152500
Hexadecimal 0x30D540

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 73 80 137 146 160 274 292 320 365 548 584 685 730 1,096 1,168 1,370 1,460 2,192 2,336 2,740 2,920 4,384 4,672 5,480 5,840 8,768 10,001 10,960 11,680 20,002 21,920 23,360 40,004 43,840 50,005 80,008 100,010 160,016 200,020 320,032 400,040 640,064 800,080 1,600,160 3,200,320

Collatz Trajectory (133 steps to reach 1)

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

3,200,320 1,600,160 800,080 400,040 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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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