λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,591,869
52,591,869
33 × 11 × 23 × 7699
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 23 × 7699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,704,000
Proper Divisor Sum 36,112,131
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #52591853 ← → #52591879

Radix Representation

Decimal 52591869
Binary 11001000100111110011111101 (26 bits)
Octal 0o310476375
Hexadecimal 0x3227CFD

Divisor Catalog (32)

1 3 9 11 23 27 33 69 99 207 253 297 621 759 2,277 6,831 7,699 23,097 69,291 84,689 177,077 207,873 254,067 531,231 762,201 1,593,693 1,947,847 2,286,603 4,781,079 5,843,541 17,530,623 52,591,869

Collatz Trajectory (173 steps to reach 1)

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

52,591,869 157,775,608 78,887,804 39,443,902 19,721,951 59,165,854 29,582,927 88,748,782 44,374,391 133,123,174 66,561,587 199,684,762 99,842,381 299,527,144 149,763,572 74,881,786 37,440,893 112,322,680 56,161,340 28,080,670 14,040,335 42,121,006 21,060,503 63,181,510 31,590,755 94,772,266 47,386,133 142,158,400 71,079,200 35,539,600 17,769,800 8,884,900 4,442,450 2,221,225 6,663,676 3,331,838 1,665,919 4,997,758 2,498,879 7,496,638 3,748,319 11,244,958 5,622,479 16,867,438 8,433,719 25,301,158 12,650,579 37,951,738 18,975,869 56,927,608 28,463,804 14,231,902 7,115,951 21,347,854 10,673,927 32,021,782 16,010,891 48,032,674 24,016,337 72,049,012

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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