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Ratio Atlas
Atlas › Integer Profiles › Node 856,000
856,000
26 × 53 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^3 × 107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,139,696
Proper Divisor Sum 1,283,696
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #855997 ← → #856021

Radix Representation

Decimal 856000
Binary 11010000111111000000 (20 bits)
Octal 0o3207700
Hexadecimal 0xD0FC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 160 200 214 250 320 400 428 500 535 800 856 1,000 1,070 1,600 1,712 2,000 2,140 2,675 3,424 4,000 4,280 5,350 6,848 8,000 8,560 10,700 13,375 17,120 21,400 26,750 34,240 42,800 53,500 85,600 107,000 171,200 214,000 428,000 856,000

Collatz Trajectory (56 steps to reach 1)

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

856,000 428,000 214,000 107,000 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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