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Ratio Atlas
Atlas › Integer Profiles › Node 856,008
856,008
23 × 34 × 1321
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,399,430
Proper Divisor Sum 1,543,422
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #855997 ← → #856021

Radix Representation

Decimal 856008
Binary 11010000111111001000 (20 bits)
Octal 0o3207710
Hexadecimal 0xD0FC8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1,321 2,642 3,963 5,284 7,926 10,568 11,889 15,852 23,778 31,704 35,667 47,556 71,334 95,112 107,001 142,668 214,002 285,336 428,004 856,008

Collatz Trajectory (56 steps to reach 1)

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

856,008 428,004 214,002 107,001 321,004 160,502 80,251 240,754 120,377 361,132 180,566 90,283 270,850 135,425 406,276 203,138 101,569 304,708 152,354 76,177 228,532 114,266 57,133 171,400 85,700 42,850 21,425 64,276 32,138 16,069 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 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 #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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