λ
Ratio Atlas
Atlas › Integer Profiles › Node 540,960
540,960
25 × 3 × 5 × 72 × 23
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 2,068,416
Proper Divisor Sum 1,527,456
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #540907 ← → #540961

Radix Representation

Decimal 540960
Binary 10000100000100100000 (20 bits)
Octal 0o2040440
Hexadecimal 0x84120

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 49 56 60 69 70 80 84 92 96 98 105 112 115 120 138 140 147 160 161 168 184 196 210 224 230 240 245 276 280 294 322 336 345 368 392

Collatz Trajectory (63 steps to reach 1)

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

540,960 270,480 135,240 67,620 33,810 16,905 50,716 25,358 12,679 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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