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Ratio Atlas
Atlas › Integer Profiles › Node 395,820
395,820
22 × 33 × 5 × 733
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,233,120
Proper Divisor Sum 837,300
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #395803 ← → #395849

Radix Representation

Decimal 395820
Binary 1100000101000101100 (19 bits)
Octal 0o1405054
Hexadecimal 0x60A2C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 733 1,466 2,199 2,932 3,665 4,398 6,597 7,330 8,796 10,995 13,194 14,660 19,791 21,990 26,388 32,985 39,582 43,980 65,970 79,164 98,955 131,940 197,910 395,820

Collatz Trajectory (68 steps to reach 1)

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

395,820 197,910 98,955 296,866 148,433 445,300 222,650 111,325 333,976 166,988 83,494 41,747 125,242 62,621 187,864 93,932 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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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