λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,800,320
4,800,320
26 × 5 × 7 × 2143
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,069,824
Proper Divisor Sum 8,269,504
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4800317 ← → #4800347

Radix Representation

Decimal 4800320
Binary 10010010011111101000000 (23 bits)
Octal 0o22237500
Hexadecimal 0x493F40

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 2,143 2,240 4,286 8,572 10,715 15,001 17,144 21,430 30,002 34,288 42,860 60,004 68,576 75,005 85,720 120,008 137,152 150,010 171,440 240,016 300,020 342,880 480,032 600,040 685,760 960,064 1,200,080 2,400,160 4,800,320

Collatz Trajectory (56 steps to reach 1)

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

4,800,320 2,400,160 1,200,080 600,040 300,020 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 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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