λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,209,340
1,209,340
22 × 5 × 11 × 23 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,903,040
Proper Divisor Sum 1,693,700
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1209337 ← → #1209347

Radix Representation

Decimal 1209340
Binary 100100111001111111100 (21 bits)
Octal 0o4471774
Hexadecimal 0x1273FC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 239 253 460 478 506 956 1,012 1,195 1,265 2,390 2,530 2,629 4,780 5,060 5,258 5,497 10,516 10,994 13,145 21,988 26,290 27,485 52,580 54,970 60,467 109,940 120,934 241,868 302,335 604,670 1,209,340

Collatz Trajectory (204 steps to reach 1)

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

1,209,340 604,670 302,335 907,006 453,503 1,360,510 680,255 2,040,766 1,020,383 3,061,150 1,530,575 4,591,726 2,295,863 6,887,590 3,443,795 10,331,386 5,165,693 15,497,080 7,748,540 3,874,270 1,937,135 5,811,406 2,905,703 8,717,110 4,358,555 13,075,666 6,537,833 19,613,500 9,806,750 4,903,375 14,710,126 7,355,063 22,065,190 11,032,595 33,097,786 16,548,893 49,646,680 24,823,340 12,411,670 6,205,835 18,617,506 9,308,753 27,926,260 13,963,130 6,981,565 20,944,696 10,472,348 5,236,174 2,618,087 7,854,262 3,927,131 11,781,394 5,890,697 17,672,092 8,836,046 4,418,023 13,254,070 6,627,035 19,881,106 9,940,553

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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