λ
Ratio Atlas
Atlas › Integer Profiles › Node 213,192
213,192
23 × 34 × 7 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 696,960
Proper Divisor Sum 483,768
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #213181 ← → #213193

Radix Representation

Decimal 213192
Binary 110100000011001000 (18 bits)
Octal 0o640310
Hexadecimal 0x340C8

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 987 1,128 1,134 1,269 1,316 1,512 1,692 1,974 2,268 2,538 2,632 2,961 3,384

Collatz Trajectory (80 steps to reach 1)

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

213,192 106,596 53,298 26,649 79,948 39,974 19,987 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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