λ
Ratio Atlas
Atlas › Integer Profiles › Node 327,600
327,600
24 × 32 × 52 × 7 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 7 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 180
Divisor Sum (σ) 1,399,216
Proper Divisor Sum 1,071,616
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #327599 ← → #327619

Radix Representation

Decimal 327600
Binary 1001111111110110000 (19 bits)
Octal 0o1177660
Hexadecimal 0x4FFB0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 35 36 39 40 42 45 48 50 52 56 60 63 65 70 72 75 78 80 84 90 91 100 104 105 112 117 120 126 130 140 144 150 156 168 175 180 182

Collatz Trajectory (65 steps to reach 1)

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

327,600 163,800 81,900 40,950 20,475 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 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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