λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,803,570
2,803,570
2 × 5 × 7 × 112 × 331
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11^2 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,358,464
Proper Divisor Sum 3,554,894
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2803561 ← → #2803571

Radix Representation

Decimal 2803570
Binary 1010101100011101110010 (22 bits)
Octal 0o12543562
Hexadecimal 0x2AC772

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 331 385 605 662 770 847 1,210 1,655 1,694 2,317 3,310 3,641 4,235 4,634 7,282 8,470 11,585 18,205 23,170 25,487 36,410 40,051 50,974 80,102 127,435 200,255 254,870 280,357 400,510 560,714 1,401,785 2,803,570

Collatz Trajectory (107 steps to reach 1)

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

2,803,570 1,401,785 4,205,356 2,102,678 1,051,339 3,154,018 1,577,009 4,731,028 2,365,514 1,182,757 3,548,272 1,774,136 887,068 443,534 221,767 665,302 332,651 997,954 498,977 1,496,932 748,466 374,233 1,122,700 561,350 280,675 842,026 421,013 1,263,040 631,520 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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