λ
Ratio Atlas
Atlas › Integer Profiles › Node 565,320
565,320
23 × 3 × 5 × 7 × 673
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,941,120
Proper Divisor Sum 1,375,800
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #565319 ← → #565333

Radix Representation

Decimal 565320
Binary 10001010000001001000 (20 bits)
Octal 0o2120110
Hexadecimal 0x8A048

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 673 840 1,346 2,019 2,692 3,365 4,038 4,711 5,384 6,730 8,076 9,422 10,095 13,460 14,133 16,152 18,844 20,190 23,555 26,920 28,266 37,688 40,380 47,110 56,532 70,665 80,760 94,220 113,064

Collatz Trajectory (58 steps to reach 1)

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

565,320 282,660 141,330 70,665 211,996 105,998 52,999 158,998 79,499 238,498 119,249 357,748 178,874 89,437 268,312 134,156 67,078 33,539 100,618 50,309 150,928 75,464 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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