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Ratio Atlas
Atlas › Integer Profiles › Node 88,200
88,200
23 × 32 × 52 × 72
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 344,565
Proper Divisor Sum 256,365
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #88177 ← → #88211

Radix Representation

Decimal 88200
Binary 10101100010001000 (17 bits)
Octal 0o254210
Hexadecimal 0x15888

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 49 50 56 60 63 70 72 75 84 90 98 100 105 120 126 140 147 150 168 175 180 196 200 210 225 245 252 280 294 300 315 350 360 392 420

Collatz Trajectory (164 steps to reach 1)

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

88,200 44,100 22,050 11,025 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

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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