λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,002,176
2,002,176
28 × 32 × 11 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3^2 × 11 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 6,377,280
Proper Divisor Sum 4,375,104
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2002159 ← → #2002199

Radix Representation

Decimal 2002176
Binary 111101000110100000000 (21 bits)
Octal 0o7506400
Hexadecimal 0x1E8D00

Divisor Catalog (60 of 108)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 79 88 96 99 128 132 144 158 176 192 198 237 256 264 288 316 352 384 396 474 528 576 632 704 711 768 792 869 948 1,056 1,152 1,264 1,408 1,422 1,584 1,738 1,896 2,112 2,304

Collatz Trajectory (109 steps to reach 1)

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

2,002,176 1,001,088 500,544 250,272 125,136 62,568 31,284 15,642 7,821 23,464 11,732 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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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