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Ratio Atlas
Atlas › Integer Profiles › Node 327,376
327,376
24 × 7 × 37 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 37 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 753,920
Proper Divisor Sum 426,544
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #327347 ← → #327401

Radix Representation

Decimal 327376
Binary 1001111111011010000 (19 bits)
Octal 0o1177320
Hexadecimal 0x4FED0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 37 56 74 79 112 148 158 259 296 316 518 553 592 632 1,036 1,106 1,264 2,072 2,212 2,923 4,144 4,424 5,846 8,848 11,692 20,461 23,384 40,922 46,768 81,844 163,688 327,376

Collatz Trajectory (65 steps to reach 1)

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

327,376 163,688 81,844 40,922 20,461 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

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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