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Ratio Atlas
Atlas › Integer Profiles › Node 364,560
364,560
24 × 3 × 5 × 72 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,357,056
Proper Divisor Sum 992,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #364543 ← → #364571

Radix Representation

Decimal 364560
Binary 1011001000000010000 (19 bits)
Octal 0o1310020
Hexadecimal 0x59010

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 49 56 60 62 70 80 84 93 98 105 112 120 124 140 147 155 168 186 196 210 217 240 245 248 280 294 310 336 372 392 420 434 465 490 496 560 588

Collatz Trajectory (73 steps to reach 1)

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

364,560 182,280 91,140 45,570 22,785 68,356 34,178 17,089 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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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