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Ratio Atlas
Atlas › Integer Profiles › Node 212,400
212,400
24 × 32 × 52 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 749,580
Proper Divisor Sum 537,180
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #212383 ← → #212411

Radix Representation

Decimal 212400
Binary 110011110110110000 (18 bits)
Octal 0o636660
Hexadecimal 0x33DB0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 59 60 72 75 80 90 100 118 120 144 150 177 180 200 225 236 240 295 300 354 360 400 450 472 531 590 600 708 720 885 900 944 1,062 1,180 1,200 1,416 1,475 1,770

Collatz Trajectory (80 steps to reach 1)

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

212,400 106,200 53,100 26,550 13,275 39,826 19,913 59,740 29,870 14,935 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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