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Ratio Atlas
Atlas › Integer Profiles › Node 79,200
79,200
25 × 32 × 52 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 304,668
Proper Divisor Sum 225,468
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #79193 ← → #79201

Radix Representation

Decimal 79200
Binary 10011010101100000 (17 bits)
Octal 0o232540
Hexadecimal 0x13560

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 96 99 100 110 120 132 144 150 160 165 176 180 198 200 220 225 240 264 275 288 300 330 352 360 396

Collatz Trajectory (76 steps to reach 1)

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

79,200 39,600 19,800 9,900 4,950 2,475 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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