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Ratio Atlas
Atlas › Integer Profiles › Node 396,576
396,576
25 × 36 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^6 × 17
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 1,239,462
Proper Divisor Sum 842,886
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #396563 ← → #396577

Radix Representation

Decimal 396576
Binary 1100000110100100000 (19 bits)
Octal 0o1406440
Hexadecimal 0x60D20

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 729 816 864 918 972 1,224 1,296 1,377 1,458 1,632 1,836 1,944 2,448 2,592 2,754 2,916 3,672

Collatz Trajectory (68 steps to reach 1)

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

396,576 198,288 99,144 49,572 24,786 12,393 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 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 #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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