λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,005,696
2,005,696
26 × 7 × 112 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 11^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 5,134,864
Proper Divisor Sum 3,129,168
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2005693 ← → #2005723

Radix Representation

Decimal 2005696
Binary 111101001101011000000 (21 bits)
Octal 0o7515300
Hexadecimal 0x1E9AC0

Divisor Catalog (60 of 84)

1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 121 148 154 176 224 242 259 296 308 352 407 448 484 518 592 616 704 814 847 968 1,036 1,184 1,232 1,628 1,694 1,936 2,072 2,368 2,464 2,849 3,256 3,388 3,872 4,144 4,477 4,928 5,698 6,512 6,776 7,744 8,288

Collatz Trajectory (153 steps to reach 1)

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

2,005,696 1,002,848 501,424 250,712 125,356 62,678 31,339 94,018 47,009 141,028 70,514 35,257 105,772 52,886 26,443 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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