λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,780,366
50,780,366
2 × 72 × 13 × 23 × 1733
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 23 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,628,704
Proper Divisor Sum 48,848,338
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #50780347 ← → #50780383

Radix Representation

Decimal 50780366
Binary 11000001101101100011001110 (26 bits)
Octal 0o301554316
Hexadecimal 0x306D8CE

Divisor Catalog (48)

1 2 7 13 14 23 26 46 49 91 98 161 182 299 322 598 637 1,127 1,274 1,733 2,093 2,254 3,466 4,186 12,131 14,651 22,529 24,262 29,302 39,859 45,058 79,718 84,917 157,703 169,834 279,013 315,406 518,167 558,026 1,036,334 1,103,921 1,953,091 2,207,842 3,627,169 3,906,182 7,254,338 25,390,183 50,780,366

Collatz Trajectory (243 steps to reach 1)

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

50,780,366 25,390,183 76,170,550 38,085,275 114,255,826 57,127,913 171,383,740 85,691,870 42,845,935 128,537,806 64,268,903 192,806,710 96,403,355 289,210,066 144,605,033 433,815,100 216,907,550 108,453,775 325,361,326 162,680,663 488,041,990 244,020,995 732,062,986 366,031,493 1,098,094,480 549,047,240 274,523,620 137,261,810 68,630,905 205,892,716 102,946,358 51,473,179 154,419,538 77,209,769 231,629,308 115,814,654 57,907,327 173,721,982 86,860,991 260,582,974 130,291,487 390,874,462 195,437,231 586,311,694 293,155,847 879,467,542 439,733,771 1,319,201,314 659,600,657 1,978,801,972 989,400,986 494,700,493 1,484,101,480 742,050,740 371,025,370 185,512,685 556,538,056 278,269,028 139,134,514 69,567,257

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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