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Ratio Atlas
Atlas › Integer Profiles › Node 400,010
400,010
2 × 5 × 13 × 17 × 181
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 825,552
Proper Divisor Sum 425,542
Digit Sum / Digital Root 5 (Root: 5)
Adjacent Primes #400009 ← → #400031

Radix Representation

Decimal 400010
Binary 1100001101010001010 (19 bits)
Octal 0o1415212
Hexadecimal 0x61A8A

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 181 221 362 442 905 1,105 1,810 2,210 2,353 3,077 4,706 6,154 11,765 15,385 23,530 30,770 40,001 80,002 200,005 400,010

Collatz Trajectory (55 steps to reach 1)

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

400,010 200,005 600,016 300,008 150,004 75,002 37,501 112,504 56,252 28,126 14,063 42,190 21,095 63,286 31,643 94,930 47,465 142,396 71,198 35,599 106,798 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 #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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