λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,917,331
47,917,331
7 × 113 × 37 × 139
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11^3 × 37 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,307,840
Proper Divisor Sum 14,390,509
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #47917327 ← → #47917369

Radix Representation

Decimal 47917331
Binary 10110110110010100100010011 (26 bits)
Octal 0o266624423
Hexadecimal 0x2DB2913

Divisor Catalog (32)

1 7 11 37 77 121 139 259 407 847 973 1,331 1,529 2,849 4,477 5,143 9,317 10,703 16,819 31,339 36,001 49,247 56,573 117,733 185,009 344,729 396,011 622,303 1,295,063 4,356,121 6,845,333 47,917,331

Collatz Trajectory (323 steps to reach 1)

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

47,917,331 143,751,994 71,875,997 215,627,992 107,813,996 53,906,998 26,953,499 80,860,498 40,430,249 121,290,748 60,645,374 30,322,687 90,968,062 45,484,031 136,452,094 68,226,047 204,678,142 102,339,071 307,017,214 153,508,607 460,525,822 230,262,911 690,788,734 345,394,367 1,036,183,102 518,091,551 1,554,274,654 777,137,327 2,331,411,982 1,165,705,991 3,497,117,974 1,748,558,987 5,245,676,962 2,622,838,481 7,868,515,444 3,934,257,722 1,967,128,861 5,901,386,584 2,950,693,292 1,475,346,646 737,673,323 2,213,019,970 1,106,509,985 3,319,529,956 1,659,764,978 829,882,489 2,489,647,468 1,244,823,734 622,411,867 1,867,235,602 933,617,801 2,800,853,404 1,400,426,702 700,213,351 2,100,640,054 1,050,320,027 3,150,960,082 1,575,480,041 4,726,440,124 2,363,220,062

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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