λ
Ratio Atlas
Atlas › Integer Profiles › Node 338,100
338,100
22 × 3 × 52 × 72 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7^2 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,187,424
Proper Divisor Sum 849,324
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #338033 ← → #338119

Radix Representation

Decimal 338100
Binary 1010010100010110100 (19 bits)
Octal 0o1224264
Hexadecimal 0x528B4

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 49 50 60 69 70 75 84 92 98 100 105 115 138 140 147 150 161 175 196 210 230 245 276 294 300 322 345 350 420 460 483 490 525 575 588 644 690 700 735 805

Collatz Trajectory (60 steps to reach 1)

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

338,100 169,050 84,525 253,576 126,788 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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