λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,804,200
2,804,200
23 × 52 × 7 × 2003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,454,880
Proper Divisor Sum 4,650,680
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2804189 ← → #2804203

Radix Representation

Decimal 2804200
Binary 1010101100100111101000 (22 bits)
Octal 0o12544750
Hexadecimal 0x2AC9E8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 2,003 4,006 8,012 10,015 14,021 16,024 20,030 28,042 40,060 50,075 56,084 70,105 80,120 100,150 112,168 140,210 200,300 280,420 350,525 400,600 560,840 701,050 1,402,100 2,804,200

Collatz Trajectory (169 steps to reach 1)

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

2,804,200 1,402,100 701,050 350,525 1,051,576 525,788 262,894 131,447 394,342 197,171 591,514 295,757 887,272 443,636 221,818 110,909 332,728 166,364 83,182 41,591 124,774 62,387 187,162 93,581 280,744 140,372 70,186 35,093 105,280 52,640 26,320 13,160 6,580 3,290 1,645 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496

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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