λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,480
51,480
23 × 32 × 5 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 196,560
Proper Divisor Sum 145,080
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #51479 ← → #51481

Radix Representation

Decimal 51480
Binary 1100100100011000 (16 bits)
Octal 0o144430
Hexadecimal 0xC918

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 30 33 36 39 40 44 45 52 55 60 65 66 72 78 88 90 99 104 110 117 120 130 132 143 156 165 180 195 198 220 234 260 264 286 312 330 360 390 396 429 440 468

Collatz Trajectory (78 steps to reach 1)

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

51,480 25,740 12,870 6,435 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56

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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