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Ratio Atlas
Atlas › Integer Profiles › Node 3,000,780
3,000,780
22 × 33 × 5 × 5557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 5557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,337,440
Proper Divisor Sum 6,336,660
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3000779 ← → #3000791

Radix Representation

Decimal 3000780
Binary 1011011100100111001100 (22 bits)
Octal 0o13344714
Hexadecimal 0x2DC9CC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5,557 11,114 16,671 22,228 27,785 33,342 50,013 55,570 66,684 83,355 100,026 111,140 150,039 166,710 200,052 250,065 300,078 333,420 500,130 600,156 750,195 1,000,260 1,500,390 3,000,780

Collatz Trajectory (89 steps to reach 1)

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

3,000,780 1,500,390 750,195 2,250,586 1,125,293 3,375,880 1,687,940 843,970 421,985 1,265,956 632,978 316,489 949,468 474,734 237,367 712,102 356,051 1,068,154 534,077 1,602,232 801,116 400,558 200,279 600,838 300,419 901,258 450,629 1,351,888 675,944 337,972 168,986 84,493 253,480 126,740 63,370 31,685 95,056 47,528 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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