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Ratio Atlas
Atlas › Integer Profiles › Node 536,004
536,004
22 × 33 × 7 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,590,400
Proper Divisor Sum 1,054,396
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #535999 ← → #536017

Radix Representation

Decimal 536004
Binary 10000010110111000100 (20 bits)
Octal 0o2026704
Hexadecimal 0x82DC4

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 709 756 1,418 2,127 2,836 4,254 4,963 6,381 8,508 9,926 12,762 14,889 19,143 19,852 25,524 29,778 38,286 44,667 59,556 76,572 89,334 134,001 178,668 268,002 536,004

Collatz Trajectory (71 steps to reach 1)

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

536,004 268,002 134,001 402,004 201,002 100,501 301,504 150,752 75,376 37,688 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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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