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Ratio Atlas
Atlas › Integer Profiles › Node 730,800
730,800
24 × 32 × 52 × 7 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 7 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 180
Divisor Sum (σ) 2,998,320
Proper Divisor Sum 2,267,520
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #730799 ← → #730811

Radix Representation

Decimal 730800
Binary 10110010011010110000 (20 bits)
Octal 0o2623260
Hexadecimal 0xB26B0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 35 36 40 42 45 48 50 56 58 60 63 70 72 75 80 84 87 90 100 105 112 116 120 126 140 144 145 150 168 174 175 180 200 203 210 225 232 240

Collatz Trajectory (61 steps to reach 1)

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

730,800 365,400 182,700 91,350 45,675 137,026 68,513 205,540 102,770 51,385 154,156 77,078 38,539 115,618 57,809 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 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 #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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