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Ratio Atlas
Atlas › Integer Profiles › Node 217,360
217,360
24 × 5 × 11 × 13 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 13 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 624,960
Proper Divisor Sum 407,600
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #217351 ← → #217361

Radix Representation

Decimal 217360
Binary 110101000100010000 (18 bits)
Octal 0o650420
Hexadecimal 0x35110

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 13 16 19 20 22 26 38 40 44 52 55 65 76 80 88 95 104 110 130 143 152 176 190 208 209 220 247 260 286 304 380 418 440 494 520 572 715 760 836 880 988 1,040 1,045 1,144 1,235 1,430 1,520 1,672 1,976 2,090 2,288 2,470 2,717

Collatz Trajectory (41 steps to reach 1)

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

217,360 108,680 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 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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