λ
Ratio Atlas
Atlas › Integer Profiles › Node 216,480
216,480
25 × 3 × 5 × 11 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 762,048
Proper Divisor Sum 545,568
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #216451 ← → #216481

Radix Representation

Decimal 216480
Binary 110100110110100000 (18 bits)
Octal 0o646640
Hexadecimal 0x34DA0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 41 44 48 55 60 66 80 82 88 96 110 120 123 132 160 164 165 176 205 220 240 246 264 328 330 352 410 440 451 480 492 528 615 656 660 820 880 902 984 1,056 1,230

Collatz Trajectory (142 steps to reach 1)

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

216,480 108,240 54,120 27,060 13,530 6,765 20,296 10,148 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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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