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Ratio Atlas
Atlas › Integer Profiles › Node 417,600
417,600
26 × 32 × 52 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 126
Divisor Sum (σ) 1,535,430
Proper Divisor Sum 1,117,830
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #417583 ← → #417617

Radix Representation

Decimal 417600
Binary 1100101111101000000 (19 bits)
Octal 0o1457500
Hexadecimal 0x65F40

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 192 200 225 232 240 261 288 290 300 320 348 360 400 435 450 464 480 522

Collatz Trajectory (143 steps to reach 1)

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

417,600 208,800 104,400 52,200 26,100 13,050 6,525 19,576 9,788 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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