λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,864,800
2,864,800
25 × 52 × 3581
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 3581
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,995,646
Proper Divisor Sum 4,130,846
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2864761 ← → #2864831

Radix Representation

Decimal 2864800
Binary 1010111011011010100000 (22 bits)
Octal 0o12733240
Hexadecimal 0x2BB6A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3,581 7,162 14,324 17,905 28,648 35,810 57,296 71,620 89,525 114,592 143,240 179,050 286,480 358,100 572,960 716,200 1,432,400 2,864,800

Collatz Trajectory (138 steps to reach 1)

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

2,864,800 1,432,400 716,200 358,100 179,050 89,525 268,576 134,288 67,144 33,572 16,786 8,393 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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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