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Ratio Atlas
Atlas › Integer Profiles › Node 31,200
31,200
25 × 3 × 52 × 13
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 109,368
Proper Divisor Sum 78,168
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #31193 ← → #31219

Radix Representation

Decimal 31200
Binary 111100111100000 (15 bits)
Octal 0o74740
Hexadecimal 0x79E0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1,040 1,200 1,248 1,300 1,560

Collatz Trajectory (147 steps to reach 1)

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

31,200 15,600 7,800 3,900 1,950 975 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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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