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Ratio Atlas
Atlas › Integer Profiles › Node 6,998,400
6,998,400
27 × 37 × 52
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 25,928,400
Proper Divisor Sum 18,930,000
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6998393 ← → #6998401

Radix Representation

Decimal 6998400
Binary 11010101100100110000000 (23 bits)
Octal 0o32544600
Hexadecimal 0x6AC980

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 384 400 405 432 450

Collatz Trajectory (160 steps to reach 1)

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

6,998,400 3,499,200 1,749,600 874,800 437,400 218,700 109,350 54,675 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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