λ
Ratio Atlas
Atlas › Integer Profiles › Node 200,640
200,640
26 × 3 × 5 × 11 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 731,520
Proper Divisor Sum 530,880
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #200639 ← → #200657

Radix Representation

Decimal 200640
Binary 110000111111000000 (18 bits)
Octal 0o607700
Hexadecimal 0x30FC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 32 33 38 40 44 48 55 57 60 64 66 76 80 88 95 96 110 114 120 132 152 160 165 176 190 192 209 220 228 240 264 285 304 320 330 352 380 418 440 456 480 528 570

Collatz Trajectory (67 steps to reach 1)

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

200,640 100,320 50,160 25,080 12,540 6,270 3,135 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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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