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Ratio Atlas
Atlas › Integer Profiles › Node 57,960
57,960
23 × 32 × 5 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 224,640
Proper Divisor Sum 166,680
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #57947 ← → #57973

Radix Representation

Decimal 57960
Binary 1110001001101000 (16 bits)
Octal 0o161150
Hexadecimal 0xE268

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 23 24 28 30 35 36 40 42 45 46 56 60 63 69 70 72 84 90 92 105 115 120 126 138 140 161 168 180 184 207 210 230 252 276 280 315 322 345 360 414 420 460 483 504

Collatz Trajectory (73 steps to reach 1)

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

57,960 28,980 14,490 7,245 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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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