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Ratio Atlas
Atlas › Integer Profiles › Node 209,772
209,772
22 × 32 × 5827
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 530,348
Proper Divisor Sum 320,576
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #209771 ← → #209789

Radix Representation

Decimal 209772
Binary 110011001101101100 (18 bits)
Octal 0o631554
Hexadecimal 0x3336C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 5,827 11,654 17,481 23,308 34,962 52,443 69,924 104,886 209,772

Collatz Trajectory (54 steps to reach 1)

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

209,772 104,886 52,443 157,330 78,665 235,996 117,998 58,999 176,998 88,499 265,498 132,749 398,248 199,124 99,562 49,781 149,344 74,672 37,336 18,668 9,334 4,667 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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