λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,011,600
2,011,600
24 × 52 × 47 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 47 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,981,824
Proper Divisor Sum 2,970,224
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #2011591 ← → #2011601

Radix Representation

Decimal 2011600
Binary 111101011000111010000 (21 bits)
Octal 0o7530720
Hexadecimal 0x1EB1D0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 107 188 200 214 235 376 400 428 470 535 752 856 940 1,070 1,175 1,712 1,880 2,140 2,350 2,675 3,760 4,280 4,700 5,029 5,350 8,560 9,400 10,058 10,700 18,800 20,116 21,400 25,145 40,232 42,800 50,290 80,464 100,580 125,725 201,160 251,450 402,320 502,900 1,005,800 2,011,600

Collatz Trajectory (91 steps to reach 1)

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

2,011,600 1,005,800 502,900 251,450 125,725 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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