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Ratio Atlas
Atlas › Integer Profiles › Node 45,360
45,360
24 × 34 × 5 × 7
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 180,048
Proper Divisor Sum 134,688
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #45343 ← → #45361

Radix Representation

Decimal 45360
Binary 1011000100110000 (16 bits)
Octal 0o130460
Hexadecimal 0xB130

Divisor Catalog (60 of 100)

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 54 56 60 63 70 72 80 81 84 90 105 108 112 120 126 135 140 144 162 168 180 189 210 216 240 252 270 280 315 324 336 360 378

Collatz Trajectory (83 steps to reach 1)

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

45,360 22,680 11,340 5,670 2,835 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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