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Ratio Atlas
Atlas › Integer Profiles › Node 730,080
730,080
25 × 33 × 5 × 132
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 2,766,960
Proper Divisor Sum 2,036,880
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #730069 ← → #730091

Radix Representation

Decimal 730080
Binary 10110010001111100000 (20 bits)
Octal 0o2621740
Hexadecimal 0xB23E0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 169 180 195 208 216 234 240 260 270 288 312 338 351 360 390 416 432

Collatz Trajectory (61 steps to reach 1)

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

730,080 365,040 182,520 91,260 45,630 22,815 68,446 34,223 102,670 51,335 154,006 77,003 231,010 115,505 346,516 173,258 86,629 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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