λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,201,340
2,201,340
22 × 3 × 5 × 19 × 1931
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 1931
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,491,520
Proper Divisor Sum 4,290,180
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2201327 ← → #2201357

Radix Representation

Decimal 2201340
Binary 1000011001011011111100 (22 bits)
Octal 0o10313374
Hexadecimal 0x2196FC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 1,931 3,862 5,793 7,724 9,655 11,586 19,310 23,172 28,965 36,689 38,620 57,930 73,378 110,067 115,860 146,756 183,445 220,134 366,890 440,268 550,335 733,780 1,100,670 2,201,340

Collatz Trajectory (166 steps to reach 1)

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

2,201,340 1,100,670 550,335 1,651,006 825,503 2,476,510 1,238,255 3,714,766 1,857,383 5,572,150 2,786,075 8,358,226 4,179,113 12,537,340 6,268,670 3,134,335 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 #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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