λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,192,000
2,192,000
27 × 53 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^3 × 137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,489,640
Proper Divisor Sum 3,297,640
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2191993 ← → #2192009

Radix Representation

Decimal 2192000
Binary 1000010111001010000000 (22 bits)
Octal 0o10271200
Hexadecimal 0x217280

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 137 160 200 250 274 320 400 500 548 640 685 800 1,000 1,096 1,370 1,600 2,000 2,192 2,740 3,200 3,425 4,000 4,384 5,480 6,850 8,000 8,768 10,960 13,700 16,000 17,125 17,536 21,920 27,400 34,250 43,840 54,800 68,500 87,680 109,600 137,000 219,200 274,000

Collatz Trajectory (135 steps to reach 1)

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

2,192,000 1,096,000 548,000 274,000 137,000 68,500 34,250 17,125 51,376 25,688 12,844 6,422 3,211 9,634 4,817 14,452 7,226 3,613 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

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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