λ
Ratio Atlas
Atlas › Integer Profiles › Node 320,688
320,688
24 × 32 × 17 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 957,528
Proper Divisor Sum 636,840
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #320687 ← → #320693

Radix Representation

Decimal 320688
Binary 1001110010010110000 (19 bits)
Octal 0o1162260
Hexadecimal 0x4E4B0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 131 136 144 153 204 262 272 306 393 408 524 612 786 816 1,048 1,179 1,224 1,572 2,096 2,227 2,358 2,448 3,144 4,454 4,716 6,288 6,681 8,908 9,432 13,362 17,816 18,864 20,043 26,724 35,632 40,086 53,448 80,172 106,896 160,344 320,688

Collatz Trajectory (96 steps to reach 1)

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

320,688 160,344 80,172 40,086 20,043 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051

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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