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Ratio Atlas
Atlas › Integer Profiles › Node 720,500
720,500
22 × 53 × 11 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 11 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,729,728
Proper Divisor Sum 1,009,228
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #720497 ← → #720527

Radix Representation

Decimal 720500
Binary 10101111111001110100 (20 bits)
Octal 0o2577164
Hexadecimal 0xAFE74

Divisor Catalog (48)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 131 220 250 262 275 500 524 550 655 1,100 1,310 1,375 1,441 2,620 2,750 2,882 3,275 5,500 5,764 6,550 7,205 13,100 14,410 16,375 28,820 32,750 36,025 65,500 72,050 144,100 180,125 360,250 720,500

Collatz Trajectory (74 steps to reach 1)

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

720,500 360,250 180,125 540,376 270,188 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22

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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