λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,320
3,000,320
211 × 5 × 293
Abundant Even Composite

Prime Factor Structure

Factorization String 2^11 × 5 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,223,580
Proper Divisor Sum 4,223,260
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #3000317 ← → #3000331

Radix Representation

Decimal 3000320
Binary 1011011100100000000000 (22 bits)
Octal 0o13344000
Hexadecimal 0x2DC800

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 512 586 640 1,024 1,172 1,280 1,465 2,048 2,344 2,560 2,930 4,688 5,120 5,860 9,376 10,240 11,720 18,752 23,440 37,504 46,880 75,008 93,760 150,016 187,520 300,032 375,040 600,064 750,080 1,500,160 3,000,320

Collatz Trajectory (45 steps to reach 1)

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

3,000,320 1,500,160 750,080 375,040 187,520 93,760 46,880 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 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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