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Ratio Atlas
Atlas › Integer Profiles › Node 321,000
321,000
23 × 3 × 53 × 107
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,010,880
Proper Divisor Sum 689,880
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #320953 ← → #321007

Radix Representation

Decimal 321000
Binary 1001110010111101000 (19 bits)
Octal 0o1162750
Hexadecimal 0x4E5E8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1,000 1,070 1,284 1,500 1,605 2,140 2,568 2,675 3,000 3,210 4,280 5,350 6,420 8,025 10,700 12,840 13,375 16,050 21,400 26,750 32,100 40,125 53,500 64,200

Collatz Trajectory (52 steps to reach 1)

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

321,000 160,500 80,250 40,125 120,376 60,188 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 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 #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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