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Ratio Atlas
Atlas › Integer Profiles › Node 355,680
355,680
25 × 32 × 5 × 13 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 13 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,375,920
Proper Divisor Sum 1,020,240
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #355679 ← → #355697

Radix Representation

Decimal 355680
Binary 1010110110101100000 (19 bits)
Octal 0o1266540
Hexadecimal 0x56D60

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 57 60 65 72 76 78 80 90 95 96 104 114 117 120 130 144 152 156 160 171 180 190 195 208 228 234 240 247 260 285 288 304 312

Collatz Trajectory (166 steps to reach 1)

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

355,680 177,840 88,920 44,460 22,230 11,115 33,346 16,673 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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