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Ratio Atlas
Atlas › Integer Profiles › Node 802,500
802,500
22 × 3 × 54 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,361,744
Proper Divisor Sum 1,559,244
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #802499 ← → #802511

Radix Representation

Decimal 802500
Binary 11000011111011000100 (20 bits)
Octal 0o3037304
Hexadecimal 0xC3EC4

Divisor Catalog (60)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 125 150 214 250 300 321 375 428 500 535 625 642 750 1,070 1,250 1,284 1,500 1,605 1,875 2,140 2,500 2,675 3,210 3,750 5,350 6,420 7,500 8,025 10,700 13,375 16,050 26,750 32,100 40,125 53,500 66,875 80,250 133,750 160,500 200,625 267,500 401,250 802,500

Collatz Trajectory (131 steps to reach 1)

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

802,500 401,250 200,625 601,876 300,938 150,469 451,408 225,704 112,852 56,426 28,213 84,640 42,320 21,160 10,580 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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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