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Ratio Atlas
Atlas › Integer Profiles › Node 4,049,600
4,049,600
26 × 52 × 2531
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 2531
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 9,968,484
Proper Divisor Sum 5,918,884
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4049593 ← → #4049609

Radix Representation

Decimal 4049600
Binary 1111011100101011000000 (22 bits)
Octal 0o17345300
Hexadecimal 0x3DCAC0

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1,600 2,531 5,062 10,124 12,655 20,248 25,310 40,496 50,620 63,275 80,992 101,240 126,550 161,984 202,480 253,100 404,960 506,200 809,920 1,012,400 2,024,800 4,049,600

Collatz Trajectory (48 steps to reach 1)

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

4,049,600 2,024,800 1,012,400 506,200 253,100 126,550 63,275 189,826 94,913 284,740 142,370 71,185 213,556 106,778 53,389 160,168 80,084 40,042 20,021 60,064 30,032 15,016 7,508 3,754 1,877 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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