λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,412,267
51,412,267
17 × 127 × 23813
Deficient Odd Composite

Prime Factor Structure

Factorization String 17 × 127 × 23813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 54,867,456
Proper Divisor Sum 3,455,189
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #51412261 ← → #51412297

Radix Representation

Decimal 51412267
Binary 11000100000111110100101011 (26 bits)
Octal 0o304076453
Hexadecimal 0x3107D2B

Divisor Catalog (8)

1 17 127 2,159 23,813 404,821 3,024,251 51,412,267

Collatz Trajectory (243 steps to reach 1)

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

51,412,267 154,236,802 77,118,401 231,355,204 115,677,602 57,838,801 173,516,404 86,758,202 43,379,101 130,137,304 65,068,652 32,534,326 16,267,163 48,801,490 24,400,745 73,202,236 36,601,118 18,300,559 54,901,678 27,450,839 82,352,518 41,176,259 123,528,778 61,764,389 185,293,168 92,646,584 46,323,292 23,161,646 11,580,823 34,742,470 17,371,235 52,113,706 26,056,853 78,170,560 39,085,280 19,542,640 9,771,320 4,885,660 2,442,830 1,221,415 3,664,246 1,832,123 5,496,370 2,748,185 8,244,556 4,122,278 2,061,139 6,183,418 3,091,709 9,275,128 4,637,564 2,318,782 1,159,391 3,478,174 1,739,087 5,217,262 2,608,631 7,825,894 3,912,947 11,738,842

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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