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Ratio Atlas
Atlas › Integer Profiles › Node 109,557
109,557
32 × 7 × 37 × 47
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 37 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 189,696
Proper Divisor Sum 80,139
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #109547 ← → #109567

Radix Representation

Decimal 109557
Binary 11010101111110101 (17 bits)
Octal 0o325765
Hexadecimal 0x1ABF5

Divisor Catalog (24)

1 3 7 9 21 37 47 63 111 141 259 329 333 423 777 987 1,739 2,331 2,961 5,217 12,173 15,651 36,519 109,557

Collatz Trajectory (66 steps to reach 1)

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

109,557 328,672 164,336 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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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