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Ratio Atlas
Atlas › Integer Profiles › Node 2,000,322
2,000,322
2 × 33 × 17 × 2179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 2179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,708,800
Proper Divisor Sum 2,708,478
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2000321 ← → #2000329

Radix Representation

Decimal 2000322
Binary 111101000010111000010 (21 bits)
Octal 0o7502702
Hexadecimal 0x1E85C2

Divisor Catalog (32)

1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 2,179 4,358 6,537 13,074 19,611 37,043 39,222 58,833 74,086 111,129 117,666 222,258 333,387 666,774 1,000,161 2,000,322

Collatz Trajectory (259 steps to reach 1)

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

2,000,322 1,000,161 3,000,484 1,500,242 750,121 2,250,364 1,125,182 562,591 1,687,774 843,887 2,531,662 1,265,831 3,797,494 1,898,747 5,696,242 2,848,121 8,544,364 4,272,182 2,136,091 6,408,274 3,204,137 9,612,412 4,806,206 2,403,103 7,209,310 3,604,655 10,813,966 5,406,983 16,220,950 8,110,475 24,331,426 12,165,713 36,497,140 18,248,570 9,124,285 27,372,856 13,686,428 6,843,214 3,421,607 10,264,822 5,132,411 15,397,234 7,698,617 23,095,852 11,547,926 5,773,963 17,321,890 8,660,945 25,982,836 12,991,418 6,495,709 19,487,128 9,743,564 4,871,782 2,435,891 7,307,674 3,653,837 10,961,512 5,480,756 2,740,378

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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