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Ratio Atlas
Atlas › Integer Profiles › Node 4,210,000
4,210,000
24 × 54 × 421
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^4 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 10,217,042
Proper Divisor Sum 6,007,042
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #4209991 ← → #4210013

Radix Representation

Decimal 4210000
Binary 10000000011110101010000 (23 bits)
Octal 0o20036520
Hexadecimal 0x403D50

Divisor Catalog (50)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1,000 1,250 1,684 2,000 2,105 2,500 3,368 4,210 5,000 6,736 8,420 10,000 10,525 16,840 21,050 33,680 42,100 52,625 84,200 105,250 168,400 210,500 263,125 421,000 526,250 842,000 1,052,500 2,105,000 4,210,000

Collatz Trajectory (48 steps to reach 1)

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

4,210,000 2,105,000 1,052,500 526,250 263,125 789,376 394,688 197,344 98,672 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 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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