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Ratio Atlas
Atlas › Integer Profiles › Node 317,520
317,520
24 × 34 × 5 × 72
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 7^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 150
Divisor Sum (σ) 1,282,842
Proper Divisor Sum 965,322
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #317503 ← → #317539

Radix Representation

Decimal 317520
Binary 1001101100001010000 (19 bits)
Octal 0o1154120
Hexadecimal 0x4D850

Divisor Catalog (60 of 150)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 98 105 108 112 120 126 135 140 144 147 162 168 180 189 196 210 216 240 245 252 270 280

Collatz Trajectory (78 steps to reach 1)

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

317,520 158,760 79,380 39,690 19,845 59,536 29,768 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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