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Ratio Atlas
Atlas › Integer Profiles › Node 765,200
765,200
24 × 52 × 1913
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 1913
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,839,354
Proper Divisor Sum 1,074,154
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #765199 ← → #765203

Radix Representation

Decimal 765200
Binary 10111010110100010000 (20 bits)
Octal 0o2726420
Hexadecimal 0xBAD10

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1,913 3,826 7,652 9,565 15,304 19,130 30,608 38,260 47,825 76,520 95,650 153,040 191,300 382,600 765,200

Collatz Trajectory (149 steps to reach 1)

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

765,200 382,600 191,300 95,650 47,825 143,476 71,738 35,869 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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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