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Ratio Atlas
Atlas › Integer Profiles › Node 216,240
216,240
24 × 3 × 5 × 17 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 723,168
Proper Divisor Sum 506,928
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #216233 ← → #216259

Radix Representation

Decimal 216240
Binary 110100110010110000 (18 bits)
Octal 0o646260
Hexadecimal 0x34CB0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1,020 1,060 1,272 1,360 1,590 1,802 2,040 2,120 2,544 2,703 3,180 3,604

Collatz Trajectory (41 steps to reach 1)

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

216,240 108,120 54,060 27,030 13,515 40,546 20,273 60,820 30,410 15,205 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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