λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,775,040
2,775,040
211 × 5 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^11 × 5 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,683,040
Proper Divisor Sum 3,908,000
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2775011 ← → #2775041

Radix Representation

Decimal 2775040
Binary 1010100101100000000000 (22 bits)
Octal 0o12454000
Hexadecimal 0x2A5800

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 271 320 512 542 640 1,024 1,084 1,280 1,355 2,048 2,168 2,560 2,710 4,336 5,120 5,420 8,672 10,240 10,840 17,344 21,680 34,688 43,360 69,376 86,720 138,752 173,440 277,504 346,880 555,008 693,760 1,387,520 2,775,040

Collatz Trajectory (125 steps to reach 1)

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

2,775,040 1,387,520 693,760 346,880 173,440 86,720 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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