λ
Ratio Atlas
Atlas › Integer Profiles › Node 16,200
16,200
23 × 34 × 52
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 56,265
Proper Divisor Sum 40,065
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #16193 ← → #16217

Radix Representation

Decimal 16200
Binary 11111101001000 (14 bits)
Octal 0o37510
Hexadecimal 0x3F48

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1,080 1,350 1,620 1,800 2,025 2,700 3,240 4,050 5,400 8,100 16,200

Collatz Trajectory (159 steps to reach 1)

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

16,200 8,100 4,050 2,025 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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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