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Ratio Atlas
Atlas › Integer Profiles › Node 2,201,342
2,201,342
2 × 11 × 13 × 43 × 179
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 43 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,991,680
Proper Divisor Sum 1,790,338
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2201327 ← → #2201357

Radix Representation

Decimal 2201342
Binary 1000011001011011111110 (22 bits)
Octal 0o10313376
Hexadecimal 0x2196FE

Divisor Catalog (32)

1 2 11 13 22 26 43 86 143 179 286 358 473 559 946 1,118 1,969 2,327 3,938 4,654 6,149 7,697 12,298 15,394 25,597 51,194 84,667 100,061 169,334 200,122 1,100,671 2,201,342

Collatz Trajectory (166 steps to reach 1)

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

2,201,342 1,100,671 3,302,014 1,651,007 4,953,022 2,476,511 7,429,534 3,714,767 11,144,302 5,572,151 16,716,454 8,358,227 25,074,682 12,537,341 37,612,024 18,806,012 9,403,006 4,701,503 14,104,510 7,052,255 21,156,766 10,578,383 31,735,150 15,867,575 47,602,726 23,801,363 71,404,090 35,702,045 107,106,136 53,553,068 26,776,534 13,388,267 40,164,802 20,082,401 60,247,204 30,123,602 15,061,801 45,185,404 22,592,702 11,296,351 33,889,054 16,944,527 50,833,582 25,416,791 76,250,374 38,125,187 114,375,562 57,187,781 171,563,344 85,781,672 42,890,836 21,445,418 10,722,709 32,168,128 16,084,064 8,042,032 4,021,016 2,010,508 1,005,254 502,627

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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