λ
Ratio Atlas
Atlas › Integer Profiles › Node 565,800
565,800
23 × 3 × 52 × 23 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 23 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,874,880
Proper Divisor Sum 1,309,080
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #565793 ← → #565813

Radix Representation

Decimal 565800
Binary 10001010001000101000 (20 bits)
Octal 0o2121050
Hexadecimal 0x8A228

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 41 46 50 60 69 75 82 92 100 115 120 123 138 150 164 184 200 205 230 246 276 300 328 345 410 460 492 552 575 600 615 690 820 920 943 984 1,025 1,150 1,230 1,380 1,640 1,725 1,886 2,050

Collatz Trajectory (84 steps to reach 1)

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

565,800 282,900 141,450 70,725 212,176 106,088 53,044 26,522 13,261 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101

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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